6972946560 has 320 divisors, whose sum is σ = 25710854400. Its totient is φ = 1799055360.

The previous prime is 6972946549. The next prime is 6972946571. The reversal of 6972946560 is 656492796.

6972946560 is a `hidden beast` number, since 6 + 9 + 72 + 9 + 4 + 6 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (6972946549) and next prime (6972946571).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6972946497 and 6972946506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1604871 + ... + 1609209.

It is an arithmetic number, because the mean of its divisors is an integer number (80346420).

Almost surely, 2^6972946560 is an apocalyptic number.

6972946560 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6972946560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12855427200).

6972946560 is an abundant number, since it is smaller than the sum of its proper divisors (18737907840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6972946560 is a wasteful number, since it uses less digits than its factorization.

6972946560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4401 (or 4380 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The square root of 6972946560 is about 83504.1709137933. The cubic root of 6972946560 is about 1910.4636503123.

The spelling of 6972946560 in words is "six billion, nine hundred seventy-two million, nine hundred forty-six thousand, five hundred sixty".