36754721920 has 256 divisors, whose sum is σ = 103250764800. Its totient is φ = 12250054656.

The previous prime is 36754721897. The next prime is 36754721929. The reversal of 36754721920 is 2912745763.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (36754721929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36426376 + ... + 36427384.

It is an arithmetic number, because the mean of its divisors is an integer number (403323300).

Almost surely, 2^36754721920 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 36754721920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51625382400).

36754721920 is an abundant number, since it is smaller than the sum of its proper divisors (66496042880).

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

36754721920 is a wasteful number, since it uses less digits than its factorization.

36754721920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 46.

The spelling of 36754721920 in words is "thirty-six billion, seven hundred fifty-four million, seven hundred twenty-one thousand, nine hundred twenty".