76691034524160 has 1920 divisors, whose sum is σ = 320099312332800. Its totient is φ = 17236246265856.

The previous prime is 76691034524113. The next prime is 76691034524173. The reversal of 76691034524160 is 6142543019667.

It is a happy number.

76691034524160 is a `hidden beast` number, since 7 + 6 + 6 + 9 + 103 + 4 + 524 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 = 76691034524097 and 76691034524106.

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 191 ways as a sum of consecutive naturals, for example, 73108707316 + ... + 73108708364.

It is an arithmetic number, because the mean of its divisors is an integer number (166718391840).

Almost surely, 2^{76691034524160} is an apocalyptic number.

76691034524160 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 76691034524160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160049656166400).

76691034524160 is an abundant number, since it is smaller than the sum of its proper divisors (243408277808640).

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

76691034524160 is a wasteful number, since it uses less digits than its factorization.

76691034524160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 76691034524160 in words is "seventy-six trillion, six hundred ninety-one billion, thirty-four million, five hundred twenty-four thousand, one hundred sixty".