268986921632 has 384 divisors, whose sum is σ = 690013126656. Its totient is φ = 101283840000.

The previous prime is 268986921617. The next prime is 268986921641. The reversal of 268986921632 is 236129689862.

268986921632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 171219407 + ... + 171220977.

It is an arithmetic number, because the mean of its divisors is an integer number (1796909184).

Almost surely, 2^268986921632 is an apocalyptic number.

268986921632 is a gapful number since it is divisible by the number (22) 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 268986921632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345006563328).

268986921632 is an abundant number, since it is smaller than the sum of its proper divisors (421026205024).

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

268986921632 is a wasteful number, since it uses less digits than its factorization.

268986921632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1724 (or 1716 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 62.

The spelling of 268986921632 in words is "two hundred sixty-eight billion, nine hundred eighty-six million, nine hundred twenty-one thousand, six hundred thirty-two".