68800416120 has 512 divisors, whose sum is σ = 244585267200. Its totient is φ = 17167417344.

The previous prime is 68800416119. The next prime is 68800416131. The reversal of 68800416120 is 2161400886.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 356478744 + ... + 356478936.

It is an arithmetic number, because the mean of its divisors is an integer number (477705600).

Almost surely, 2^68800416120 is an apocalyptic number.

68800416120 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 68800416120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122292633600).

68800416120 is an abundant number, since it is smaller than the sum of its proper divisors (175784851080).

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

68800416120 is a wasteful number, since it uses less digits than its factorization.

68800416120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 68800416120 in words is "sixty-eight billion, eight hundred million, four hundred sixteen thousand, one hundred twenty".