76636027460400 has 240 divisors, whose sum is σ = 246602148619008. Its totient is φ = 20343775104000.

The previous prime is 76636027460341. The next prime is 76636027460453. The reversal of 76636027460400 is 406472063667.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×76636027460400² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3767554230 + ... + 3767574570.

Almost surely, 2^{76636027460400} 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 76636027460400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123301074309504).

76636027460400 is an abundant number, since it is smaller than the sum of its proper divisors (169966121158608).

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

76636027460400 is a wasteful number, since it uses less digits than its factorization.

76636027460400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34420 (or 34409 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 51.

The spelling of 76636027460400 in words is "seventy-six trillion, six hundred thirty-six billion, twenty-seven million, four hundred sixty thousand, four hundred".