37980708516072 has 576 divisors, whose sum is σ = 122402826000000. Its totient is φ = 10605952401408.

The previous prime is 37980708516031. The next prime is 37980708516083. The reversal of 37980708516072 is 27061580708973.

37980708516072 is a `hidden beast` number, since 37 + 9 + 80 + 7 + 0 + 8 + 516 + 0 + 7 + 2 = 666.

It is a hoax number, since the sum of its digits (63) 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 (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 30408893304 + ... + 30408894552.

It is an arithmetic number, because the mean of its divisors is an integer number (212504906250).

Almost surely, 2^{37980708516072} 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 37980708516072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61201413000000).

37980708516072 is an abundant number, since it is smaller than the sum of its proper divisors (84422117483928).

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

37980708516072 is a wasteful number, since it uses less digits than its factorization.

37980708516072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2390 (or 2376 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 63.

The spelling of 37980708516072 in words is "thirty-seven trillion, nine hundred eighty billion, seven hundred eight million, five hundred sixteen thousand, seventy-two".