76361132736 has 126 divisors (see below), whose sum is σ = 254610252780. Its totient is φ = 21817458432.

The previous prime is 76361132699. The next prime is 76361132767. The reversal of 76361132736 is 63723116367.

It is a happy number.

76361132736 is a `hidden beast` number, since 7 + 6 + 3 + 611 + 3 + 27 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (126).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 76361132691 and 76361132700.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1324546 + ... + 1380993.

Almost surely, 2^76361132736 is an apocalyptic number.

It is an amenable number.

76361132736 is an abundant number, since it is smaller than the sum of its proper divisors (178249120044).

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

76361132736 is a wasteful number, since it uses less digits than its factorization.

76361132736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2705571 (or 2705551 counting only the distinct ones).

The product of its digits is 571536, while the sum is 45.

The spelling of 76361132736 in words is "seventy-six billion, three hundred sixty-one million, one hundred thirty-two thousand, seven hundred thirty-six".