68066996400 has 720 divisors, whose sum is σ = 262075955232. Its totient is φ = 16257024000.

The previous prime is 68066996399. The next prime is 68066996401. The reversal of 68066996400 is 469966086.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (68066996399) and next prime (68066996401).

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×68066996400² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (68066996401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 322592295 + ... + 322592505.

Almost surely, 2^68066996400 is an apocalyptic number.

68066996400 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 68066996400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131037977616).

68066996400 is an abundant number, since it is smaller than the sum of its proper divisors (194008958832).

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

68066996400 is a wasteful number, since it uses less digits than its factorization.

68066996400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 68066996400 in words is "sixty-eight billion, sixty-six million, nine hundred ninety-six thousand, four hundred".