393609222720 has 1008 divisors, whose sum is σ = 1719492989760. Its totient is φ = 85216997376.

The previous prime is 393609222709. The next prime is 393609222733. The reversal of 393609222720 is 27222906393.

393609222720 is a `hidden beast` number, since 39 + 3 + 609 + 2 + 2 + 2 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 72391842 + ... + 72397278.

It is an arithmetic number, because the mean of its divisors is an integer number (1705846220).

Almost surely, 2^393609222720 is an apocalyptic number.

393609222720 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 393609222720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859746494880).

393609222720 is an abundant number, since it is smaller than the sum of its proper divisors (1325883767040).

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

393609222720 is a wasteful number, since it uses less digits than its factorization.

393609222720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5502 (or 5473 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 393609222720 in words is "three hundred ninety-three billion, six hundred nine million, two hundred twenty-two thousand, seven hundred twenty".