36762688512 has 616 divisors, whose sum is σ = 124469423472. Its totient is φ = 10839121920.

The previous prime is 36762688493. The next prime is 36762688531. The reversal of 36762688512 is 21588626763.

36762688512 is a `hidden beast` number, since 3 + 6 + 7 + 62 + 68 + 8 + 512 = 666.

It is an interprime number because it is at equal distance from previous prime (36762688493) and next prime (36762688531).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

Its product of digits (5806080) is a multiple of the sum of its prime factors (108).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 993586158 + ... + 993586194.

Almost surely, 2^36762688512 is an apocalyptic number.

36762688512 is a gapful number since it is divisible by the number (32) 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 36762688512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62234711736).

36762688512 is an abundant number, since it is smaller than the sum of its proper divisors (87706734960).

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

36762688512 is an frugal number, since it uses more digits than its factorization.

36762688512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 53 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 36762688512 in words is "thirty-six billion, seven hundred sixty-two million, six hundred eighty-eight thousand, five hundred twelve".