76561369920 has 168 divisors, whose sum is σ = 300959178624. Its totient is φ = 17499737088.

The previous prime is 76561369919. The next prime is 76561369981. The reversal of 76561369920 is 2996316567.

76561369920 is a `hidden beast` number, since 76 + 561 + 3 + 6 + 9 + 9 + 2 + 0 = 666.

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1878684 + ... + 1919003.

Almost surely, 2^76561369920 is an apocalyptic number.

76561369920 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

76561369920 is an abundant number, since it is smaller than the sum of its proper divisors (224397808704).

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

76561369920 is a wasteful number, since it uses less digits than its factorization.

76561369920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3797717 (or 3797704 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 76561369920 in words is "seventy-six billion, five hundred sixty-one million, three hundred sixty-nine thousand, nine hundred twenty".