6973586472960 has 1088 divisors, whose sum is σ = 25877316072960. Its totient is φ = 1802483269632.

The previous prime is 6973586472953. The next prime is 6973586472967. The reversal of 6973586472960 is 692746853796.

6973586472960 is a `hidden beast` number, since 6 + 9 + 73 + 5 + 86 + 472 + 9 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6973586472953) and next prime (6973586472967).

It is a super-2 number, since 2×6973586472960² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6973586472967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26515537789 + ... + 26515538051.

Almost surely, 2^{6973586472960} is an apocalyptic number.

6973586472960 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 6973586472960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12938658036480).

6973586472960 is an abundant number, since it is smaller than the sum of its proper divisors (18903729600000).

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

6973586472960 is an frugal number, since it uses more digits than its factorization.

6973586472960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 823011840, while the sum is 72.

The spelling of 6973586472960 in words is "six trillion, nine hundred seventy-three billion, five hundred eighty-six million, four hundred seventy-two thousand, nine hundred sixty".