36751009738752 has 624 divisors, whose sum is σ = 111976176854880. Its totient is φ = 11597709312000.

The previous prime is 36751009738733. The next prime is 36751009738783. The reversal of 36751009738752 is 25783790015763.

36751009738752 is a `hidden beast` number, since 3 + 67 + 5 + 100 + 97 + 387 + 5 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 36751009738752.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11553286602 + ... + 11553289782.

It is an arithmetic number, because the mean of its divisors is an integer number (179449001370).

Almost surely, 2^{36751009738752} is an apocalyptic number.

36751009738752 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 36751009738752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55988088427440).

36751009738752 is an abundant number, since it is smaller than the sum of its proper divisors (75225167116128).

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

36751009738752 is a wasteful number, since it uses less digits than its factorization.

36751009738752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3448 (or 3423 counting only the distinct ones).

The product of its (nonzero) digits is 66679200, while the sum is 63.

The spelling of 36751009738752 in words is "thirty-six trillion, seven hundred fifty-one billion, nine million, seven hundred thirty-eight thousand, seven hundred fifty-two".