36642222720 has 512 divisors, whose sum is σ = 134412825600. Its totient is φ = 9546190848.

The previous prime is 36642222719. The next prime is 36642222763. The reversal of 36642222720 is 2722224663.

36642222720 is a `hidden beast` number, since 3 + 6 + 6 + 422 + 227 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65784682 + ... + 65785238.

It is an arithmetic number, because the mean of its divisors is an integer number (262525050).

Almost surely, 2^36642222720 is an apocalyptic number.

36642222720 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 36642222720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67206412800).

36642222720 is an abundant number, since it is smaller than the sum of its proper divisors (97770602880).

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

36642222720 is an frugal number, since it uses more digits than its factorization.

36642222720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 36642222720 in words is "thirty-six billion, six hundred forty-two million, two hundred twenty-two thousand, seven hundred twenty".