36750126000 has 320 divisors, whose sum is σ = 136119859200. Its totient is φ = 8355916800.

The previous prime is 36750125987. The next prime is 36750126031. The reversal of 36750126000 is 62105763.

36750126000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×36750126000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8355802 + ... + 8360198.

It is an arithmetic number, because the mean of its divisors is an integer number (425374560).

Almost surely, 2^36750126000 is an apocalyptic number.

36750126000 is a gapful number since it is divisible by the number (30) 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 36750126000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68059929600).

36750126000 is an abundant number, since it is smaller than the sum of its proper divisors (99369733200).

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

36750126000 is a wasteful number, since it uses less digits than its factorization.

36750126000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4629 (or 4613 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The spelling of 36750126000 in words is "thirty-six billion, seven hundred fifty million, one hundred twenty-six thousand".