268772630784 has 576 divisors, whose sum is σ = 940744949760. Its totient is φ = 66249031680.

The previous prime is 268772630743. The next prime is 268772630807. The reversal of 268772630784 is 487036277862.

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, 53827392 + ... + 53832384.

It is an arithmetic number, because the mean of its divisors is an integer number (1633237760).

Almost surely, 2^268772630784 is an apocalyptic number.

268772630784 is a gapful number since it is divisible by the number (24) 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 268772630784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470372474880).

268772630784 is an abundant number, since it is smaller than the sum of its proper divisors (671972318976).

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

268772630784 is a wasteful number, since it uses less digits than its factorization.

268772630784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5086 (or 5072 counting only the distinct ones).

The product of its (nonzero) digits is 37933056, while the sum is 60.

The spelling of 268772630784 in words is "two hundred sixty-eight billion, seven hundred seventy-two million, six hundred thirty thousand, seven hundred eighty-four".