36772634556 has 192 divisors, whose sum is σ = 112103040000. Its totient is φ = 10204040448.

The previous prime is 36772634543. The next prime is 36772634557. The reversal of 36772634556 is 65543627763.

36772634556 is a `hidden beast` number, since 3 + 67 + 7 + 26 + 3 + 4 + 556 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36772634557) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24530695 + ... + 24532193.

It is an arithmetic number, because the mean of its divisors is an integer number (583870000).

Almost surely, 2^36772634556 is an apocalyptic number.

36772634556 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36772634556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56051520000).

36772634556 is an abundant number, since it is smaller than the sum of its proper divisors (75330405444).

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

36772634556 is a wasteful number, since it uses less digits than its factorization.

36772634556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2433 (or 2425 counting only the distinct ones).

The product of its digits is 19051200, while the sum is 54.

The spelling of 36772634556 in words is "thirty-six billion, seven hundred seventy-two million, six hundred thirty-four thousand, five hundred fifty-six".