268082044761600 has 3360 divisors, whose sum is σ = 1104371112974976. Its totient is φ = 64172379340800.

The previous prime is 268082044761577. The next prime is 268082044761667. The reversal of 268082044761600 is 6167440280862.

It is a happy number.

268082044761600 is a `hidden beast` number, since 2 + 6 + 8 + 0 + 8 + 2 + 0 + 4 + 476 + 160 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 305680780362 + ... + 305680781238.

Almost surely, 2^{268082044761600} is an apocalyptic number.

268082044761600 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 268082044761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552185556487488).

268082044761600 is an abundant number, since it is smaller than the sum of its proper divisors (836289068213376).

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

268082044761600 is an equidigital number, since it uses as much as digits as its factorization.

268082044761600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 268082044761600 in words is "two hundred sixty-eight trillion, eighty-two billion, forty-four million, seven hundred sixty-one thousand, six hundred".