393007132672 has 234 divisors, whose sum is σ = 1004961194664. Its totient is φ = 153110200320.

The previous prime is 393007132669. The next prime is 393007132703. The reversal of 393007132672 is 276231700393.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 24277093 + ... + 24293275.

Almost surely, 2^393007132672 is an apocalyptic number.

393007132672 is a gapful number since it is divisible by the number (32) 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 393007132672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502480597332).

393007132672 is an abundant number, since it is smaller than the sum of its proper divisors (611954061992).

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

393007132672 is a wasteful number, since it uses less digits than its factorization.

393007132672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16243 (or 16203 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 43.

The spelling of 393007132672 in words is "three hundred ninety-three billion, seven million, one hundred thirty-two thousand, six hundred seventy-two".