36721974772224 has 480 divisors, whose sum is σ = 133884537716160. Its totient is φ = 9874813648896.

The previous prime is 36721974772183. The next prime is 36721974772237. The reversal of 36721974772224 is 42227747912763.

36721974772224 is a `hidden beast` number, since 3 + 6 + 72 + 1 + 97 + 477 + 2 + 2 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9920919 + ... + 13109865.

It is an arithmetic number, because the mean of its divisors is an integer number (278926120242).

Almost surely, 2^{36721974772224} is an apocalyptic number.

36721974772224 is a gapful number since it is divisible by the number (34) 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 36721974772224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66942268858080).

36721974772224 is an abundant number, since it is smaller than the sum of its proper divisors (97162562943936).

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

36721974772224 is a wasteful number, since it uses less digits than its factorization.

36721974772224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3189005 (or 3188976 counting only the distinct ones).

The product of its digits is 99574272, while the sum is 63.

The spelling of 36721974772224 in words is "thirty-six trillion, seven hundred twenty-one billion, nine hundred seventy-four million, seven hundred seventy-two thousand, two hundred twenty-four".