36638118776 has 64 divisors (see below), whose sum is σ = 80451360000. Its totient is φ = 15317902080.

The previous prime is 36638118763. The next prime is 36638118787. The reversal of 36638118776 is 67781183663.

36638118776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 390500 + ... + 475148.

It is an arithmetic number, because the mean of its divisors is an integer number (1257052500).

Almost surely, 2^36638118776 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 36638118776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40225680000).

36638118776 is an abundant number, since it is smaller than the sum of its proper divisors (43813241224).

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

36638118776 is a wasteful number, since it uses less digits than its factorization.

36638118776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84852 (or 84848 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 56.

The spelling of 36638118776 in words is "thirty-six billion, six hundred thirty-eight million, one hundred eighteen thousand, seven hundred seventy-six".