76533172128 has 216 divisors, whose sum is σ = 255113258400. Its totient is φ = 21699175680.

The previous prime is 76533172103. The next prime is 76533172139. The reversal of 76533172128 is 82127133567.

76533172128 is a `hidden beast` number, since 76 + 53 + 317 + 212 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1827973 + ... + 1869371.

It is an arithmetic number, because the mean of its divisors is an integer number (1181079900).

Almost surely, 2^76533172128 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 76533172128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127556629200).

76533172128 is an abundant number, since it is smaller than the sum of its proper divisors (178580086272).

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

76533172128 is a wasteful number, since it uses less digits than its factorization.

76533172128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41560 (or 41542 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The spelling of 76533172128 in words is "seventy-six billion, five hundred thirty-three million, one hundred seventy-two thousand, one hundred twenty-eight".