68267707200 has 840 divisors, whose sum is σ = 312899657664. Its totient is φ = 14183424000.

The previous prime is 68267707169. The next prime is 68267707219. The reversal of 68267707200 is 270776286.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9975780 + ... + 9982620.

Almost surely, 2^68267707200 is an apocalyptic number.

68267707200 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 68267707200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156449828832).

68267707200 is an abundant number, since it is smaller than the sum of its proper divisors (244631950464).

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

68267707200 is a wasteful number, since it uses less digits than its factorization.

68267707200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6893 (or 6869 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 68267707200 in words is "sixty-eight billion, two hundred sixty-seven million, seven hundred seven thousand, two hundred".