37500813000 has 960 divisors, whose sum is σ = 160415798400. Its totient is φ = 7982841600.

The previous prime is 37500812963. The next prime is 37500813107. The reversal of 37500813000 is 31800573.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 635606971 + ... + 635607029.

It is an arithmetic number, because the mean of its divisors is an integer number (167099790).

Almost surely, 2^37500813000 is an apocalyptic number.

37500813000 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 37500813000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80207899200).

37500813000 is an abundant number, since it is smaller than the sum of its proper divisors (122914985400).

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

37500813000 is a wasteful number, since it uses less digits than its factorization.

37500813000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 37500813000 in words is "thirty-seven billion, five hundred million, eight hundred thirteen thousand".