36721480089600 has 1080 divisors, whose sum is σ = 139049713530000. Its totient is φ = 9237776302080.

The previous prime is 36721480089557. The next prime is 36721480089617. The reversal of 36721480089600 is 698008412763.

36721480089600 is a `hidden beast` number, since 3 + 6 + 7 + 21 + 4 + 8 + 0 + 0 + 8 + 9 + 600 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18841189426 + ... + 18841191374.

It is an arithmetic number, because the mean of its divisors is an integer number (128749734750).

Almost surely, 2^{36721480089600} is an apocalyptic number.

36721480089600 is a gapful number since it is divisible by the number (30) 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 36721480089600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69524856765000).

36721480089600 is an abundant number, since it is smaller than the sum of its proper divisors (102328233440400).

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

36721480089600 is a wasteful number, since it uses less digits than its factorization.

36721480089600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2281 (or 2247 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 36721480089600 in words is "thirty-six trillion, seven hundred twenty-one billion, four hundred eighty million, eighty-nine thousand, six hundred".