945393376320 has 336 divisors, whose sum is σ = 3397943757312. Its totient is φ = 240802467840.

The previous prime is 945393376283. The next prime is 945393376351. The reversal of 945393376320 is 23673393549.

945393376320 is a `hidden beast` number, since 9 + 4 + 539 + 3 + 3 + 76 + 32 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48544185 + ... + 48563655.

Almost surely, 2^945393376320 is an apocalyptic number.

945393376320 is a gapful number since it is divisible by the number (90) 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 945393376320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1698971878656).

945393376320 is an abundant number, since it is smaller than the sum of its proper divisors (2452550380992).

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

945393376320 is a wasteful number, since it uses less digits than its factorization.

945393376320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20250 (or 20237 counting only the distinct ones).

The product of its (nonzero) digits is 11022480, while the sum is 54.

The spelling of 945393376320 in words is "nine hundred forty-five billion, three hundred ninety-three million, three hundred seventy-six thousand, three hundred twenty".