76046605384680 has 768 divisors, whose sum is σ = 299219962429440. Its totient is φ = 16374119731200.

The previous prime is 76046605384667. The next prime is 76046605384741. The reversal of 76046605384680 is 8648350664067.

76046605384680 is a `hidden beast` number, since 7 + 6 + 0 + 466 + 0 + 53 + 8 + 46 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3921737785 + ... + 3921757175.

It is an arithmetic number, because the mean of its divisors is an integer number (389609326080).

Almost surely, 2^{76046605384680} is an apocalyptic number.

76046605384680 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 76046605384680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149609981214720).

76046605384680 is an abundant number, since it is smaller than the sum of its proper divisors (223173357044760).

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

76046605384680 is a wasteful number, since it uses less digits than its factorization.

76046605384680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20462 (or 20455 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 76046605384680 in words is "seventy-six trillion, forty-six billion, six hundred five million, three hundred eighty-four thousand, six hundred eighty".