7678064148624 has 315 divisors, whose sum is σ = 23327009764357. Its totient is φ = 2357553280512.

The previous prime is 7678064148613. The next prime is 7678064148637. The reversal of 7678064148624 is 4268414608767.

The square root of 7678064148624 is 2770932.

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

7678064148624 is a `hidden beast` number, since 7 + 6 + 78 + 0 + 64 + 1 + 486 + 24 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 77941472400 + 7600122676224 = 279180^2 + 2756832^2 .

It is a super-2 number, since 2×7678064148624² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 163363066969 + ... + 163363067015.

Almost surely, 2^{7678064148624} is an apocalyptic number.

7678064148624 is the 2770932-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7678064148624

7678064148624 is an abundant number, since it is smaller than the sum of its proper divisors (15648945615733).

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

7678064148624 is an frugal number, since it uses more digits than its factorization.

7678064148624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 86704128, while the sum is 63.

The spelling of 7678064148624 in words is "seven trillion, six hundred seventy-eight billion, sixty-four million, one hundred forty-eight thousand, six hundred twenty-four".