37879591680 has 1440 divisors, whose sum is σ = 169525762560. Its totient is φ = 7882997760.

The previous prime is 37879591667. The next prime is 37879591727. The reversal of 37879591680 is 8619597873.

37879591680 is a `hidden beast` number, since 37 + 8 + 7 + 9 + 591 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 565367007 + ... + 565367073.

It is an arithmetic number, because the mean of its divisors is an integer number (117726224).

Almost surely, 2^37879591680 is an apocalyptic number.

37879591680 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 37879591680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84762881280).

37879591680 is an abundant number, since it is smaller than the sum of its proper divisors (131646170880).

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

37879591680 is a wasteful number, since it uses less digits than its factorization.

37879591680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 37879591680 in words is "thirty-seven billion, eight hundred seventy-nine million, five hundred ninety-one thousand, six hundred eighty".