68583554400 has 144 divisors (see below), whose sum is σ = 223969040064. Its totient is φ = 18229178880.

The previous prime is 68583554363. The next prime is 68583554419. The reversal of 68583554400 is 445538586.

It is a happy number.

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 68583554400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 690259 + ... + 783341.

It is an arithmetic number, because the mean of its divisors is an integer number (1555340556).

Almost surely, 2^68583554400 is an apocalyptic number.

68583554400 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 68583554400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111984520032).

68583554400 is an abundant number, since it is smaller than the sum of its proper divisors (155385485664).

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

68583554400 is a wasteful number, since it uses less digits than its factorization.

68583554400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93413 (or 93400 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 48.

The spelling of 68583554400 in words is "sixty-eight billion, five hundred eighty-three million, five hundred fifty-four thousand, four hundred".