68814076800 has 384 divisors, whose sum is σ = 267975705600. Its totient is φ = 15186124800.

The previous prime is 68814076789. The next prime is 68814076801. The reversal of 68814076800 is 867041886.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 68814076800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68814076801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1931145 + ... + 1966455.

It is an arithmetic number, because the mean of its divisors is an integer number (697853400).

Almost surely, 2^68814076800 is an apocalyptic number.

68814076800 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 68814076800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133987852800).

68814076800 is an abundant number, since it is smaller than the sum of its proper divisors (199161628800).

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

68814076800 is a wasteful number, since it uses less digits than its factorization.

68814076800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35374 (or 35357 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The spelling of 68814076800 in words is "sixty-eight billion, eight hundred fourteen million, seventy-six thousand, eight hundred".