7182056964096 has 405 divisors, whose sum is σ = 24159115227429. Its totient is φ = 2049958084608.

The previous prime is 7182056964073. The next prime is 7182056964161. The reversal of 7182056964096 is 6904696502817.

The square root of 7182056964096 is 2679936.

It is a perfect power (a square), and thus also a powerful number.

7182056964096 is a `hidden beast` number, since 7 + 1 + 8 + 2 + 0 + 569 + 64 + 0 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6182184960000 + 999872004096 = 2486400^2 + 999936^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7203667470 + ... + 7203668466.

Almost surely, 2^{7182056964096} is an apocalyptic number.

7182056964096 is the 2679936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7182056964096

7182056964096 is an abundant number, since it is smaller than the sum of its proper divisors (16977058263333).

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

7182056964096 is an frugal number, since it uses more digits than its factorization.

7182056964096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2042 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 7182056964096 in words is "seven trillion, one hundred eighty-two billion, fifty-six million, nine hundred sixty-four thousand, ninety-six".