37679431680 has 768 divisors, whose sum is σ = 150162180480. Its totient is φ = 8650752000.

The previous prime is 37679431651. The next prime is 37679431697. The reversal of 37679431680 is 8613497673.

37679431680 is a `hidden beast` number, since 376 + 79 + 43 + 168 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 373063630 + ... + 373063730.

Almost surely, 2^37679431680 is an apocalyptic number.

37679431680 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 37679431680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75081090240).

37679431680 is an abundant number, since it is smaller than the sum of its proper divisors (112482748800).

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

37679431680 is a wasteful number, since it uses less digits than its factorization.

37679431680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 37679431680 in words is "thirty-seven billion, six hundred seventy-nine million, four hundred thirty-one thousand, six hundred eighty".