37498640256 has 896 divisors, whose sum is σ = 148338812160. Its totient is φ = 9137111040.

The previous prime is 37498640237. The next prime is 37498640261. The reversal of 37498640256 is 65204689473.

37498640256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×37498640256² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 122145255 + ... + 122145561.

It is an arithmetic number, because the mean of its divisors is an integer number (165556710).

Almost surely, 2^37498640256 is an apocalyptic number.

37498640256 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 37498640256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74169406080).

37498640256 is an abundant number, since it is smaller than the sum of its proper divisors (110840171904).

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

37498640256 is a wasteful number, since it uses less digits than its factorization.

37498640256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 37498640256 in words is "thirty-seven billion, four hundred ninety-eight million, six hundred forty thousand, two hundred fifty-six".