37980268416 has 128 divisors (see below), whose sum is σ = 112419300000. Its totient is φ = 12623413248.

The previous prime is 37980268409. The next prime is 37980268433. The reversal of 37980268416 is 61486208973.

37980268416 is a `hidden beast` number, since 379 + 8 + 0 + 268 + 4 + 1 + 6 = 666.

37980268416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1190400 + ... + 1221888.

Almost surely, 2^37980268416 is an apocalyptic number.

37980268416 is a gapful number since it is divisible by the number (36) 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 37980268416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56209650000).

37980268416 is an abundant number, since it is smaller than the sum of its proper divisors (74439031584).

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

37980268416 is a wasteful number, since it uses less digits than its factorization.

37980268416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31861 (or 31843 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 37980268416 in words is "thirty-seven billion, nine hundred eighty million, two hundred sixty-eight thousand, four hundred sixteen".