37728872064 has 192 divisors, whose sum is σ = 121251879840. Its totient is φ = 11608759296.

The previous prime is 37728872063. The next prime is 37728872101. The reversal of 37728872064 is 46027882773.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 37728872064.

It is not an unprimeable number, because it can be changed into a prime (37728872063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 357699 + ... + 451005.

Almost surely, 2^37728872064 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 37728872064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60625939920).

37728872064 is an abundant number, since it is smaller than the sum of its proper divisors (83523007776).

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

37728872064 is an equidigital number, since it uses as much as digits as its factorization.

37728872064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93349 (or 93325 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 37728872064 in words is "thirty-seven billion, seven hundred twenty-eight million, eight hundred seventy-two thousand, sixty-four".