6972860160 has 1152 divisors, whose sum is σ = 31317350400. Its totient is φ = 1433272320.

The previous prime is 6972860143. The next prime is 6972860171. The reversal of 6972860160 is 610682796.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 170069740 + ... + 170069780.

It is an arithmetic number, because the mean of its divisors is an integer number (27185200).

Almost surely, 2^6972860160 is an apocalyptic number.

6972860160 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 6972860160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15658675200).

6972860160 is an abundant number, since it is smaller than the sum of its proper divisors (24344490240).

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

6972860160 is a wasteful number, since it uses less digits than its factorization.

6972860160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 6972860160 is about 83503.6535727629. The cubic root of 6972860160 is about 1910.4557595907.

The spelling of 6972860160 in words is "six billion, nine hundred seventy-two million, eight hundred sixty thousand, one hundred sixty".