168868778400 has 1152 divisors, whose sum is σ = 743952384000. Its totient is φ = 36883123200.

The previous prime is 168868778381. The next prime is 168868778453. The reversal of 168868778400 is 4877868861.

168868778400 is a `hidden beast` number, since 1 + 6 + 8 + 86 + 87 + 78 + 400 = 666.

168868778400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 191 ways as a sum of consecutive naturals, for example, 170401905 + ... + 170402895.

It is an arithmetic number, because the mean of its divisors is an integer number (645792000).

Almost surely, 2^168868778400 is an apocalyptic number.

168868778400 is a gapful number since it is divisible by the number (10) 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 168868778400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371976192000).

168868778400 is an abundant number, since it is smaller than the sum of its proper divisors (575083605600).

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

168868778400 is a wasteful number, since it uses less digits than its factorization.

168868778400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 63.

The spelling of 168868778400 in words is "one hundred sixty-eight billion, eight hundred sixty-eight million, seven hundred seventy-eight thousand, four hundred".