76383682560 has 512 divisors, whose sum is σ = 280846310400. Its totient is φ = 19676528640.

The previous prime is 76383682559. The next prime is 76383682577. The reversal of 76383682560 is 6528638367.

76383682560 is a `hidden beast` number, since 7 + 6 + 383 + 6 + 8 + 256 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

It is a super-2 number, since 2×76383682560² (a number of 23 digits) contains 22 as substring.

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 = 76383682497 and 76383682506.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137133802 + ... + 137134358.

It is an arithmetic number, because the mean of its divisors is an integer number (548527950).

Almost surely, 2^76383682560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76383682560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140423155200).

76383682560 is an abundant number, since it is smaller than the sum of its proper divisors (204462627840).

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

76383682560 is an equidigital number, since it uses as much as digits as its factorization.

76383682560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 76383682560 in words is "seventy-six billion, three hundred eighty-three million, six hundred eighty-two thousand, five hundred sixty".