7392612972096 has 315 divisors, whose sum is σ = 24094330505553. Its totient is φ = 2239533204480.

The previous prime is 7392612972091. The next prime is 7392612972113. The reversal of 7392612972096 is 6902792162937.

The square root of 7392612972096 is 2718936.

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

7392612972096 is a `hidden beast` number, since 7 + 3 + 9 + 2 + 612 + 9 + 7 + 2 + 0 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2446721640000 + 4945891332096 = 1564200^2 + 2223936^2 .

It is not an unprimeable number, because it can be changed into a prime (7392612972091) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2153395596 + ... + 2153399028.

Almost surely, 2^{7392612972096} is an apocalyptic number.

7392612972096 is the 2718936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7392612972096

7392612972096 is an abundant number, since it is smaller than the sum of its proper divisors (16701717533457).

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

7392612972096 is an frugal number, since it uses more digits than its factorization.

7392612972096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6912 (or 3449 counting only the distinct ones).

The product of its (nonzero) digits is 30862944, while the sum is 63.

The spelling of 7392612972096 in words is "seven trillion, three hundred ninety-two billion, six hundred twelve million, nine hundred seventy-two thousand, ninety-six".