37425741264 has 240 divisors, whose sum is σ = 117163126080. Its totient is φ = 11082977280.

The previous prime is 37425741263. The next prime is 37425741271. The reversal of 37425741264 is 46214752473.

37425741264 is a `hidden beast` number, since 3 + 7 + 4 + 2 + 574 + 12 + 64 = 666.

It is a super-2 number, since 2×37425741264² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37425741263) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14277874 + ... + 14280494.

It is an arithmetic number, because the mean of its divisors is an integer number (488179692).

Almost surely, 2^37425741264 is an apocalyptic number.

37425741264 is a gapful number since it is divisible by the number (34) 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 37425741264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58581563040).

37425741264 is an abundant number, since it is smaller than the sum of its proper divisors (79737384816).

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

37425741264 is a wasteful number, since it uses less digits than its factorization.

37425741264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2978 (or 2969 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 45.

The spelling of 37425741264 in words is "thirty-seven billion, four hundred twenty-five million, seven hundred forty-one thousand, two hundred sixty-four".