37132460640 has 576 divisors, whose sum is σ = 144781076160. Its totient is φ = 8991544320.

The previous prime is 37132460639. The next prime is 37132460663. The reversal of 37132460640 is 4606423173.

It is a happy number.

37132460640 is a `hidden beast` number, since 3 + 7 + 1 + 3 + 2 + 4 + 6 + 0 + 640 = 666.

It is a super-2 number, since 2×37132460640² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 37132460595 and 37132460604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42339882 + ... + 42340758.

It is an arithmetic number, because the mean of its divisors is an integer number (251356035).

Almost surely, 2^37132460640 is an apocalyptic number.

37132460640 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 37132460640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72390538080).

37132460640 is an abundant number, since it is smaller than the sum of its proper divisors (107648615520).

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

37132460640 is an equidigital number, since it uses as much as digits as its factorization.

37132460640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 37132460640 in words is "thirty-seven billion, one hundred thirty-two million, four hundred sixty thousand, six hundred forty".