68260348800 has 576 divisors, whose sum is σ = 279323491200. Its totient is φ = 15548682240.

The previous prime is 68260348789. The next prime is 68260348801. The reversal of 68260348800 is 884306286.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×68260348800² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68260348801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 110274891 + ... + 110275509.

Almost surely, 2^68260348800 is an apocalyptic number.

68260348800 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 68260348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139661745600).

68260348800 is an abundant number, since it is smaller than the sum of its proper divisors (211063142400).

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

68260348800 is a wasteful number, since it uses less digits than its factorization.

68260348800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 68260348800 in words is "sixty-eight billion, two hundred sixty million, three hundred forty-eight thousand, eight hundred".