7676685664704 has 168 divisors, whose sum is σ = 26470777274240. Its totient is φ = 2077899858432.

The previous prime is 7676685664691. The next prime is 7676685664717. The reversal of 7676685664704 is 4074665866767.

7676685664704 is a `hidden beast` number, since 7 + 6 + 76 + 6 + 85 + 6 + 6 + 470 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (7676685664691) and next prime (7676685664717).

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-3 number, since 3×7676685664704³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50027074 + ... + 50180289.

Almost surely, 2^{7676685664704} is an apocalyptic number.

It is an amenable number.

7676685664704 is an abundant number, since it is smaller than the sum of its proper divisors (18794091609536).

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

7676685664704 is a wasteful number, since it uses less digits than its factorization.

7676685664704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100207407 (or 100207394 counting only the distinct ones).

The product of its (nonzero) digits is 1706987520, while the sum is 72.

The spelling of 7676685664704 in words is "seven trillion, six hundred seventy-six billion, six hundred eighty-five million, six hundred sixty-four thousand, seven hundred four".