268167968006400 has 5832 divisors, whose sum is σ = 1286910309135360. Its totient is φ = 55043031859200.

The previous prime is 268167968006381. The next prime is 268167968006507. The reversal of 268167968006400 is 4600869761862.

268167968006400 is a `hidden beast` number, since 2 + 6 + 8 + 1 + 67 + 96 + 80 + 0 + 6 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 1171039161486 + ... + 1171039161714.

Almost surely, 2^{268167968006400} is an apocalyptic number.

268167968006400 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 268167968006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643455154567680).

268167968006400 is an abundant number, since it is smaller than the sum of its proper divisors (1018742341128960).

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

268167968006400 is a wasteful number, since it uses less digits than its factorization.

268167968006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 268167968006400 in words is "two hundred sixty-eight trillion, one hundred sixty-seven billion, nine hundred sixty-eight million, six thousand, four hundred".