37320505728 has 128 divisors (see below), whose sum is σ = 108707356800. Its totient is φ = 11250401280.

The previous prime is 37320505723. The next prime is 37320505751. The reversal of 37320505728 is 82750502373.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 37320505728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37320505723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 792343 + ... + 838121.

It is an arithmetic number, because the mean of its divisors is an integer number (849276225).

Almost surely, 2^37320505728 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 37320505728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54353678400).

37320505728 is an abundant number, since it is smaller than the sum of its proper divisors (71386851072).

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

37320505728 is a wasteful number, since it uses less digits than its factorization.

37320505728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46000 (or 45988 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 42.

The spelling of 37320505728 in words is "thirty-seven billion, three hundred twenty million, five hundred five thousand, seven hundred twenty-eight".