37534260064 has 96 divisors (see below), whose sum is σ = 85688064000. Its totient is φ = 15851496960.

The previous prime is 37534260061. The next prime is 37534260097. The reversal of 37534260064 is 46006243573.

It is a junction number, because it is equal to n+sod(n) for n = 37534259999 and 37534260026.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37534260061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10598134 + ... + 10601674.

It is an arithmetic number, because the mean of its divisors is an integer number (892584000).

Almost surely, 2^37534260064 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 37534260064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42844032000).

37534260064 is an abundant number, since it is smaller than the sum of its proper divisors (48153803936).

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

37534260064 is a wasteful number, since it uses less digits than its factorization.

37534260064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4236 (or 4228 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 40.

The spelling of 37534260064 in words is "thirty-seven billion, five hundred thirty-four million, two hundred sixty thousand, sixty-four".