37972649885040 has 240 divisors, whose sum is σ = 141764560654080. Its totient is φ = 9045593948160.

The previous prime is 37972649884937. The next prime is 37972649885041. The reversal of 37972649885040 is 4058894627973.

37972649885040 is a `hidden beast` number, since 3 + 7 + 9 + 7 + 26 + 4 + 98 + 8 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 37972649885040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37972649885041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65143825 + ... + 65724144.

It is an arithmetic number, because the mean of its divisors is an integer number (590685669392).

Almost surely, 2^{37972649885040} is an apocalyptic number.

37972649885040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

37972649885040 is an abundant number, since it is smaller than the sum of its proper divisors (103791910769040).

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

37972649885040 is a wasteful number, since it uses less digits than its factorization.

37972649885040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130868032 (or 130868023 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 72.

The spelling of 37972649885040 in words is "thirty-seven trillion, nine hundred seventy-two billion, six hundred forty-nine million, eight hundred eighty-five thousand, forty".