37675500603312 has 320 divisors, whose sum is σ = 116558299791360. Its totient is φ = 10336270464000.

The previous prime is 37675500603217. The next prime is 37675500603401. The reversal of 37675500603312 is 21330600557673.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81650593 + ... + 82110719.

It is an arithmetic number, because the mean of its divisors is an integer number (364244686848).

Almost surely, 2^{37675500603312} 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 37675500603312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58279149895680).

37675500603312 is an abundant number, since it is smaller than the sum of its proper divisors (78882799188048).

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

37675500603312 is a wasteful number, since it uses less digits than its factorization.

37675500603312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460392 (or 460386 counting only the distinct ones).

The product of its (nonzero) digits is 2381400, while the sum is 48.

The spelling of 37675500603312 in words is "thirty-seven trillion, six hundred seventy-five billion, five hundred million, six hundred three thousand, three hundred twelve".