76683889416960 has 3600 divisors, whose sum is σ = 348483235752960. Its totient is φ = 16038854737920.

The previous prime is 76683889416943. The next prime is 76683889416977. The reversal of 76683889416960 is 6961498838667.

76683889416960 is a `hidden beast` number, since 7 + 6 + 6 + 8 + 38 + 89 + 416 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (76683889416943) and next prime (76683889416977).

It is a super-2 number, since 2×76683889416960² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 76683889416960.

It is an unprimeable number.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 146623115259 + ... + 146623115781.

Almost surely, 2^{76683889416960} is an apocalyptic number.

76683889416960 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 76683889416960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174241617876480).

76683889416960 is an abundant number, since it is smaller than the sum of its proper divisors (271799346336000).

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

76683889416960 is an equidigital number, since it uses as much as digits as its factorization.

76683889416960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 4514807808, while the sum is 81.

The spelling of 76683889416960 in words is "seventy-six trillion, six hundred eighty-three billion, eight hundred eighty-nine million, four hundred sixteen thousand, nine hundred sixty".