268062653664 has 768 divisors, whose sum is σ = 925293922560. Its totient is φ = 74742497280.

The previous prime is 268062653659. The next prime is 268062653693. The reversal of 268062653664 is 466356260862.

It is a happy number.

268062653664 is a `hidden beast` number, since 2 + 6 + 8 + 0 + 626 + 5 + 3 + 6 + 6 + 4 = 666.

It is a super-2 number, since 2×268062653664² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 268062653664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 759384112 + ... + 759384464.

It is an arithmetic number, because the mean of its divisors is an integer number (1204809795).

Almost surely, 2^268062653664 is an apocalyptic number.

268062653664 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 268062653664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462646961280).

268062653664 is an abundant number, since it is smaller than the sum of its proper divisors (657231268896).

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

268062653664 is a wasteful number, since it uses less digits than its factorization.

268062653664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 268062653664 in words is "two hundred sixty-eight billion, sixty-two million, six hundred fifty-three thousand, six hundred sixty-four".