76714464960 has 1120 divisors, whose sum is σ = 336494518272. Its totient is φ = 16203939840.

The previous prime is 76714464943. The next prime is 76714464977. The reversal of 76714464960 is 6946441767.

76714464960 is a `hidden beast` number, since 7 + 6 + 7 + 144 + 6 + 496 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (76714464943) and next prime (76714464977).

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 76714464897 and 76714464906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 129366424 + ... + 129367016.

Almost surely, 2^76714464960 is an apocalyptic number.

76714464960 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76714464960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168247259136).

76714464960 is an abundant number, since it is smaller than the sum of its proper divisors (259780053312).

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

76714464960 is a wasteful number, since it uses less digits than its factorization.

76714464960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 76714464960 in words is "seventy-six billion, seven hundred fourteen million, four hundred sixty-four thousand, nine hundred sixty".