6972479953920 has 1056 divisors, whose sum is σ = 26942342289408. Its totient is φ = 1656098390016.

The previous prime is 6972479953919. The next prime is 6972479953939. The reversal of 6972479953920 is 293599742796.

6972479953920 is a `hidden beast` number, since 69 + 7 + 2 + 4 + 7 + 9 + 9 + 539 + 20 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 2814887722 + ... + 2814890198.

Almost surely, 2^{6972479953920} is an apocalyptic number.

6972479953920 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 6972479953920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13471171144704).

6972479953920 is an abundant number, since it is smaller than the sum of its proper divisors (19969862335488).

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

6972479953920 is a wasteful number, since it uses less digits than its factorization.

6972479953920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2685 (or 2664 counting only the distinct ones).

The product of its (nonzero) digits is 462944160, while the sum is 72.

The spelling of 6972479953920 in words is "six trillion, nine hundred seventy-two billion, four hundred seventy-nine million, nine hundred fifty-three thousand, nine hundred twenty".