268246702080 has 960 divisors, whose sum is σ = 1123354552320. Its totient is φ = 59947941888.

The previous prime is 268246702069. The next prime is 268246702099. The reversal of 268246702080 is 80207642862.

268246702080 is a `hidden beast` number, since 268 + 246 + 70 + 2 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 272885269 + ... + 272886251.

It is an arithmetic number, because the mean of its divisors is an integer number (1170160992).

Almost surely, 2^268246702080 is an apocalyptic number.

268246702080 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 268246702080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561677276160).

268246702080 is an abundant number, since it is smaller than the sum of its proper divisors (855107850240).

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

268246702080 is an equidigital number, since it uses as much as digits as its factorization.

268246702080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 268246702080 in words is "two hundred sixty-eight billion, two hundred forty-six million, seven hundred two thousand, eighty".