268602002460 has 576 divisors, whose sum is σ = 931056706944. Its totient is φ = 62626037760.

The previous prime is 268602002453. The next prime is 268602002491. The reversal of 268602002460 is 64200206862.

268602002460 is a `hidden beast` number, since 2 + 6 + 8 + 602 + 0 + 0 + 2 + 46 + 0 = 666.

It is a super-3 number, since 3×268602002460³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1391720124 + ... + 1391720316.

It is an arithmetic number, because the mean of its divisors is an integer number (1616417894).

Almost surely, 2^268602002460 is an apocalyptic number.

268602002460 is a gapful number since it is divisible by the number (20) 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 268602002460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465528353472).

268602002460 is an abundant number, since it is smaller than the sum of its proper divisors (662454704484).

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

268602002460 is a wasteful number, since it uses less digits than its factorization.

268602002460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 268602002460 in words is "two hundred sixty-eight billion, six hundred two million, two thousand, four hundred sixty".