37320560640 has 624 divisors, whose sum is σ = 143522046720. Its totient is φ = 8894545920.

The previous prime is 37320560639. The next prime is 37320560653. The reversal of 37320560640 is 4606502373.

37320560640 is a `hidden beast` number, since 3 + 7 + 3 + 2 + 0 + 5 + 6 + 0 + 640 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 37320560595 and 37320560604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 160173964 + ... + 160174196.

It is an arithmetic number, because the mean of its divisors is an integer number (230003280).

Almost surely, 2^37320560640 is an apocalyptic number.

37320560640 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 37320560640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71761023360).

37320560640 is an abundant number, since it is smaller than the sum of its proper divisors (106201486080).

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

37320560640 is a wasteful number, since it uses less digits than its factorization.

37320560640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 37320560640 in words is "thirty-seven billion, three hundred twenty million, five hundred sixty thousand, six hundred forty".