6402393792 has 224 divisors, whose sum is σ = 19628144640. Its totient is φ = 2044154880.

The previous prime is 6402393787. The next prime is 6402393841. The reversal of 6402393792 is 2973932046.

6402393792 is a `hidden beast` number, since 6 + 40 + 239 + 379 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5731218 + ... + 5732334.

Almost surely, 2^6402393792 is an apocalyptic number.

6402393792 is a gapful number since it is divisible by the number (62) 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 6402393792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9814072320).

6402393792 is an abundant number, since it is smaller than the sum of its proper divisors (13225750848).

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

6402393792 is a wasteful number, since it uses less digits than its factorization.

6402393792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276 (or 1260 counting only the distinct ones).

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

The square root of 6402393792 is about 80014.9598012772. The cubic root of 6402393792 is about 1856.8669837206.

The spelling of 6402393792 in words is "six billion, four hundred two million, three hundred ninety-three thousand, seven hundred ninety-two".