37790098560 has 256 divisors, whose sum is σ = 134094096000. Its totient is φ = 10058231808.

The previous prime is 37790098519. The next prime is 37790098571. The reversal of 37790098560 is 6589009773.

37790098560 is a `hidden beast` number, since 3 + 7 + 79 + 0 + 0 + 9 + 8 + 560 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 37790098497 and 37790098506.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10694554 + ... + 10698086.

Almost surely, 2^37790098560 is an apocalyptic number.

37790098560 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 37790098560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67047048000).

37790098560 is an abundant number, since it is smaller than the sum of its proper divisors (96303997440).

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

37790098560 is a wasteful number, since it uses less digits than its factorization.

37790098560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4180 (or 4162 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 37790098560 in words is "thirty-seven billion, seven hundred ninety million, ninety-eight thousand, five hundred sixty".