268473461256000 has 6720 divisors, whose sum is σ = 1357531051548672. Its totient is φ = 50965770240000.

The previous prime is 268473461255971. The next prime is 268473461256023. The reversal of 268473461256000 is 652164374862.

268473461256000 is a `hidden beast` number, since 2 + 6 + 8 + 4 + 7 + 3 + 4 + 6 + 1 + 25 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6720).

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 polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 1362809447902 + ... + 1362809448098.

Almost surely, 2^{268473461256000} is an apocalyptic number.

268473461256000 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 268473461256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678765525774336).

268473461256000 is an abundant number, since it is smaller than the sum of its proper divisors (1089057590292672).

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

268473461256000 is a wasteful number, since it uses less digits than its factorization.

268473461256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 268473461256000 in words is "two hundred sixty-eight trillion, four hundred seventy-three billion, four hundred sixty-one million, two hundred fifty-six thousand".