37825334560 has 192 divisors, whose sum is σ = 102711877632. Its totient is φ = 13039681536.

The previous prime is 37825334531. The next prime is 37825334567. The reversal of 37825334560 is 6543352873.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 37825334560.

It is not an unprimeable number, because it can be changed into a prime (37825334567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4486509 + ... + 4494931.

It is an arithmetic number, because the mean of its divisors is an integer number (534957696).

Almost surely, 2^37825334560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37825334560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51355938816).

37825334560 is an abundant number, since it is smaller than the sum of its proper divisors (64886543072).

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

37825334560 is a wasteful number, since it uses less digits than its factorization.

37825334560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8595 (or 8587 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 46.

The spelling of 37825334560 in words is "thirty-seven billion, eight hundred twenty-five million, three hundred thirty-four thousand, five hundred sixty".