36913661928 has 512 divisors, whose sum is σ = 130959360000. Its totient is φ = 9461836800.

The previous prime is 36913661923. The next prime is 36913661963. The reversal of 36913661928 is 82916631963.

36913661928 is a `hidden beast` number, since 3 + 6 + 9 + 13 + 6 + 619 + 2 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (36913661923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18192018 + ... + 18194046.

It is an arithmetic number, because the mean of its divisors is an integer number (255780000).

Almost surely, 2^36913661928 is an apocalyptic number.

36913661928 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36913661928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65479680000).

36913661928 is an abundant number, since it is smaller than the sum of its proper divisors (94045698072).

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

36913661928 is a wasteful number, since it uses less digits than its factorization.

36913661928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2118 (or 2108 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 54.

The spelling of 36913661928 in words is "thirty-six billion, nine hundred thirteen million, six hundred sixty-one thousand, nine hundred twenty-eight".