76632401601 has 24 divisors (see below), whose sum is σ = 128028438720. Its totient is φ = 43262351136.

The previous prime is 76632401591. The next prime is 76632401611. The reversal of 76632401601 is 10610423667.

It is a happy number.

76632401601 is a `hidden beast` number, since 7 + 6 + 6 + 3 + 2 + 40 + 1 + 601 = 666.

It is an interprime number because it is at equal distance from previous prime (76632401591) and next prime (76632401611).

It is not a de Polignac number, because 76632401601 - 2⁵ = 76632401569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (76632401611) 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 23 ways as a sum of consecutive naturals, for example, 7322406 + ... + 7332863.

It is an arithmetic number, because the mean of its divisors is an integer number (5334518280).

Almost surely, 2^76632401601 is an apocalyptic number.

It is an amenable number.

76632401601 is a deficient number, since it is larger than the sum of its proper divisors (51396037119).

76632401601 is a wasteful number, since it uses less digits than its factorization.

76632401601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14655365 (or 14655362 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 76632401601 in words is "seventy-six billion, six hundred thirty-two million, four hundred one thousand, six hundred one".