268766001504 has 1728 divisors, whose sum is σ = 1112233554432. Its totient is φ = 62078607360.

The previous prime is 268766001487. The next prime is 268766001523. The reversal of 268766001504 is 405100667862.

268766001504 is a `hidden beast` number, since 2 + 6 + 87 + 6 + 60 + 0 + 1 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 268766001504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3681726012 + ... + 3681726084.

Almost surely, 2^268766001504 is an apocalyptic number.

268766001504 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 268766001504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556116777216).

268766001504 is an abundant number, since it is smaller than the sum of its proper divisors (843467552928).

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

268766001504 is a wasteful number, since it uses less digits than its factorization.

268766001504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 268766001504 in words is "two hundred sixty-eight billion, seven hundred sixty-six million, one thousand, five hundred four".