76096644480 has 256 divisors, whose sum is σ = 281228198400. Its totient is φ = 19410057216.

The previous prime is 76096644473. The next prime is 76096644509. The reversal of 76096644480 is 8444669067.

76096644480 is a `hidden beast` number, since 7 + 60 + 9 + 66 + 44 + 480 = 666.

It is a super-2 number, since 2×76096644480² (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 congruent number.

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, 301707 + ... + 493173.

It is an arithmetic number, because the mean of its divisors is an integer number (1098547650).

Almost surely, 2^76096644480 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 76096644480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140614099200).

76096644480 is an abundant number, since it is smaller than the sum of its proper divisors (205131553920).

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

76096644480 is a wasteful number, since it uses less digits than its factorization.

76096644480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191518 (or 191500 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 76096644480 in words is "seventy-six billion, ninety-six million, six hundred forty-four thousand, four hundred eighty".