37920425760 has 864 divisors, whose sum is σ = 161477617392. Its totient is φ = 8051097600.

The previous prime is 37920425759. The next prime is 37920425827. The reversal of 37920425760 is 6752402973.

37920425760 is a `hidden beast` number, since 3 + 79 + 2 + 0 + 4 + 2 + 576 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 19607840784 + 18312584976 = 140028^2 + 135324^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 121151364 + ... + 121151676.

Almost surely, 2^37920425760 is an apocalyptic number.

37920425760 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 37920425760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80738808696).

37920425760 is an abundant number, since it is smaller than the sum of its proper divisors (123557191632).

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

37920425760 is a wasteful number, since it uses less digits than its factorization.

37920425760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 37920425760 in words is "thirty-seven billion, nine hundred twenty million, four hundred twenty-five thousand, seven hundred sixty".