37965472525960 has 512 divisors, whose sum is σ = 104938466181120. Its totient is φ = 12079976832000.

The previous prime is 37965472525951. The next prime is 37965472525969. The reversal of 37965472525960 is 6952527456973.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (37965472525951) and next prime (37965472525969).

It is a Harshad number since it is a multiple of its sum of digits (70).

It is a self number, because there is not a number n which added to its sum of digits gives 37965472525960.

It is not an unprimeable number, because it can be changed into a prime (37965472525969) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 32984771385 + ... + 32984772535.

It is an arithmetic number, because the mean of its divisors is an integer number (204957941760).

Almost surely, 2^{37965472525960} 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 37965472525960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52469233090560).

37965472525960 is an abundant number, since it is smaller than the sum of its proper divisors (66972993655160).

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

37965472525960 is a wasteful number, since it uses less digits than its factorization.

37965472525960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1929 (or 1925 counting only the distinct ones).

The product of its (nonzero) digits is 857304000, while the sum is 70.

The spelling of 37965472525960 in words is "thirty-seven trillion, nine hundred sixty-five billion, four hundred seventy-two million, five hundred twenty-five thousand, nine hundred sixty".