7696762684416 has 1155 divisors, whose sum is σ = 26375295018291. Its totient is φ = 2243590742016.

The previous prime is 7696762684411. The next prime is 7696762684421. The reversal of 7696762684416 is 6144862676967.

The square root of 7696762684416 is 2774304.

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

7696762684416 is a `hidden beast` number, since 7 + 6 + 9 + 67 + 62 + 68 + 441 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (7696762684411) and next prime (7696762684421).

It can be written as a sum of positive squares in 2 ways, for example, as 3816177878016 + 3880584806400 = 1953504^2 + 1969920^2 .

It is a super-2 number, since 2×7696762684416² (a number of 27 digits) contains 22 as substring.

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

Its product of digits (877879296) is a multiple of the sum of its prime factors (128).

It is not an unprimeable number, because it can be changed into a prime (7696762684411) by changing a digit.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 405092772855 + ... + 405092772873.

Almost surely, 2^{7696762684416} is an apocalyptic number.

7696762684416 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

7696762684416 is the 2774304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7696762684416

7696762684416 is an abundant number, since it is smaller than the sum of its proper divisors (18678532333875).

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

7696762684416 is an frugal number, since it uses more digits than its factorization.

7696762684416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 37 counting only the distinct ones).

The product of its digits is 877879296, while the sum is 72.

The spelling of 7696762684416 in words is "seven trillion, six hundred ninety-six billion, seven hundred sixty-two million, six hundred eighty-four thousand, four hundred sixteen".