30769849880352 has 576 divisors, whose sum is σ = 100600577925120. Its totient is φ = 8835534028800.

The previous prime is 30769849880309. The next prime is 30769849880369. The reversal of 30769849880352 is 25308894896703.

30769849880352 is a `hidden beast` number, since 3 + 0 + 7 + 6 + 9 + 8 + 498 + 80 + 3 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1489117573 + ... + 1489138235.

It is an arithmetic number, because the mean of its divisors is an integer number (174653781120).

Almost surely, 2^{30769849880352} is an apocalyptic number.

30769849880352 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 30769849880352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50300288962560).

30769849880352 is an abundant number, since it is smaller than the sum of its proper divisors (69830728044768).

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

30769849880352 is a wasteful number, since it uses less digits than its factorization.

30769849880352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21037 (or 21026 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 30769849880352 in words is "thirty trillion, seven hundred sixty-nine billion, eight hundred forty-nine million, eight hundred eighty thousand, three hundred fifty-two".