6972376819824 has 240 divisors, whose sum is σ = 22151064428640. Its totient is φ = 2087362068480.

The previous prime is 6972376819813. The next prime is 6972376819841. The reversal of 6972376819824 is 4289186732796.

6972376819824 is a `hidden beast` number, since 6 + 9 + 72 + 376 + 81 + 98 + 24 = 666.

It is a super-2 number, since 2×6972376819824² (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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7234864 + ... + 8141744.

It is an arithmetic number, because the mean of its divisors is an integer number (92296101786).

Almost surely, 2^{6972376819824} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6972376819824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11075532214320).

6972376819824 is an abundant number, since it is smaller than the sum of its proper divisors (15178687608816).

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

6972376819824 is a wasteful number, since it uses less digits than its factorization.

6972376819824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906985 (or 906936 counting only the distinct ones).

The product of its digits is 438939648, while the sum is 72.

The spelling of 6972376819824 in words is "six trillion, nine hundred seventy-two billion, three hundred seventy-six million, eight hundred nineteen thousand, eight hundred twenty-four".