382902546768 has 320 divisors, whose sum is σ = 1199275241472. Its totient is φ = 102912860160.

The previous prime is 382902546739. The next prime is 382902546773. The reversal of 382902546768 is 867645209283.

It is a super-2 number, since 2×382902546768² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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, 154581946 + ... + 154584422.

Almost surely, 2^382902546768 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 382902546768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599637620736).

382902546768 is an abundant number, since it is smaller than the sum of its proper divisors (816372694704).

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

382902546768 is a wasteful number, since it uses less digits than its factorization.

382902546768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2842 (or 2836 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 60.

The spelling of 382902546768 in words is "three hundred eighty-two billion, nine hundred two million, five hundred forty-six thousand, seven hundred sixty-eight".