37625859960 has 512 divisors, whose sum is σ = 132596352000. Its totient is φ = 8458371072.

The previous prime is 37625859959. The next prime is 37625860001. The reversal of 37625859960 is 6995852673.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 37625859894 and 37625859903.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 217490434 + ... + 217490606.

It is an arithmetic number, because the mean of its divisors is an integer number (258977250).

Almost surely, 2^37625859960 is an apocalyptic number.

37625859960 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 37625859960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66298176000).

37625859960 is an abundant number, since it is smaller than the sum of its proper divisors (94970492040).

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

37625859960 is a wasteful number, since it uses less digits than its factorization.

37625859960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 60.

The spelling of 37625859960 in words is "thirty-seven billion, six hundred twenty-five million, eight hundred fifty-nine thousand, nine hundred sixty".