68757998400 has 1008 divisors, whose sum is σ = 303764557824. Its totient is φ = 14363688960.

The previous prime is 68757998389. The next prime is 68757998411. The reversal of 68757998400 is 489975786.

68757998400 is a `hidden beast` number, since 6 + 8 + 75 + 79 + 98 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (68757998389) and next prime (68757998411).

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

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, 179524609 + ... + 179524991.

It is an arithmetic number, because the mean of its divisors is an integer number (301353728).

Almost surely, 2^68757998400 is an apocalyptic number.

68757998400 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 68757998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151882278912).

68757998400 is an abundant number, since it is smaller than the sum of its proper divisors (235006559424).

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

68757998400 is a wasteful number, since it uses less digits than its factorization.

68757998400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 68757998400 in words is "sixty-eight billion, seven hundred fifty-seven million, nine hundred ninety-eight thousand, four hundred".