37620404640 has 1440 divisors, whose sum is σ = 172657046016. Its totient is φ = 7681443840.

The previous prime is 37620404639. The next prime is 37620404663. The reversal of 37620404640 is 4640402673.

37620404640 is a `hidden beast` number, since 3 + 7 + 6 + 2 + 0 + 4 + 0 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 = 37620404595 and 37620404604.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1213561425 + ... + 1213561455.

Almost surely, 2^37620404640 is an apocalyptic number.

37620404640 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 37620404640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86328523008).

37620404640 is an abundant number, since it is smaller than the sum of its proper divisors (135036641376).

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

37620404640 is an equidigital number, since it uses as much as digits as its factorization.

37620404640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 37620404640 in words is "thirty-seven billion, six hundred twenty million, four hundred four thousand, six hundred forty".