68068598400 has 1152 divisors, whose sum is σ = 290681395200. Its totient is φ = 15490252800.

The previous prime is 68068598399. The next prime is 68068598431. The reversal of 68068598400 is 489586086.

It is a happy number.

68068598400 is a `hidden beast` number, since 6 + 8 + 0 + 6 + 8 + 598 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 143 ways as a sum of consecutive naturals, for example, 177724609 + ... + 177724991.

It is an arithmetic number, because the mean of its divisors is an integer number (252327600).

Almost surely, 2^68068598400 is an apocalyptic number.

68068598400 is a gapful number since it is divisible by the number (60) 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 68068598400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145340697600).

68068598400 is an abundant number, since it is smaller than the sum of its proper divisors (222612796800).

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

68068598400 is a wasteful number, since it uses less digits than its factorization.

68068598400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 68068598400 in words is "sixty-eight billion, sixty-eight million, five hundred ninety-eight thousand, four hundred".