37840400640 has 720 divisors, whose sum is σ = 163898646912. Its totient is φ = 8137801728.

The previous prime is 37840400639. The next prime is 37840400677. The reversal of 37840400640 is 4600404873.

37840400640 is a `hidden beast` number, since 3 + 7 + 8 + 4 + 0 + 4 + 0 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 = 37840400595 and 37840400604.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12336387 + ... + 12339453.

Almost surely, 2^37840400640 is an apocalyptic number.

37840400640 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 37840400640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81949323456).

37840400640 is an abundant number, since it is smaller than the sum of its proper divisors (126058246272).

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

37840400640 is a wasteful number, since it uses less digits than its factorization.

37840400640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3124 (or 3101 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 37840400640 in words is "thirty-seven billion, eight hundred forty million, four hundred thousand, six hundred forty".