36413200072704 has 1632 divisors, whose sum is σ = 128204600961024. Its totient is φ = 9100465274880.

The previous prime is 36413200072679. The next prime is 36413200072723. The reversal of 36413200072704 is 40727000231463.

It is a happy number.

It is a super-2 number, since 2×36413200072704² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 322240708552 + ... + 322240708664.

Almost surely, 2^{36413200072704} 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 36413200072704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64102300480512).

36413200072704 is an abundant number, since it is smaller than the sum of its proper divisors (91791400888320).

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

36413200072704 is a wasteful number, since it uses less digits than its factorization.

36413200072704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 39.

The spelling of 36413200072704 in words is "thirty-six trillion, four hundred thirteen billion, two hundred million, seventy-two thousand, seven hundred four".