268477130880 has 960 divisors, whose sum is σ = 1123151702400. Its totient is φ = 61280851968.

The previous prime is 268477130863. The next prime is 268477130923. The reversal of 268477130880 is 88031774862.

It is a happy number.

268477130880 is a `hidden beast` number, since 2 + 68 + 477 + 1 + 30 + 8 + 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 (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 373403161 + ... + 373403879.

It is an arithmetic number, because the mean of its divisors is an integer number (1169949690).

Almost surely, 2^268477130880 is an apocalyptic number.

268477130880 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 268477130880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561575851200).

268477130880 is an abundant number, since it is smaller than the sum of its proper divisors (854674571520).

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

268477130880 is an frugal number, since it uses more digits than its factorization.

268477130880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 268477130880 in words is "two hundred sixty-eight billion, four hundred seventy-seven million, one hundred thirty thousand, eight hundred eighty".