76557663006 has 128 divisors (see below), whose sum is σ = 176185497600. Its totient is φ = 21963903360.

The previous prime is 76557663001. The next prime is 76557663047. The reversal of 76557663006 is 60036675567.

It is a happy number.

It is a super-2 number, since 2×76557663006² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 76557663006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76557663001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22080085 + ... + 22083551.

It is an arithmetic number, because the mean of its divisors is an integer number (1376449200).

Almost surely, 2^76557663006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76557663006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88092748800).

76557663006 is an abundant number, since it is smaller than the sum of its proper divisors (99627834594).

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

76557663006 is a wasteful number, since it uses less digits than its factorization.

76557663006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3734.

The product of its (nonzero) digits is 4762800, while the sum is 51.

The spelling of 76557663006 in words is "seventy-six billion, five hundred fifty-seven million, six hundred sixty-three thousand, six".