37800040960 has 640 divisors, whose sum is σ = 112004259840. Its totient is φ = 12076646400.

The previous prime is 37800040951. The next prime is 37800040987. The reversal of 37800040960 is 6904000873.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 713208294 + ... + 713208346.

It is an arithmetic number, because the mean of its divisors is an integer number (175006656).

Almost surely, 2^37800040960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37800040960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56002129920).

37800040960 is an abundant number, since it is smaller than the sum of its proper divisors (74204218880).

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

37800040960 is a wasteful number, since it uses less digits than its factorization.

37800040960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The spelling of 37800040960 in words is "thirty-seven billion, eight hundred million, forty thousand, nine hundred sixty".