68846469120 has 720 divisors, whose sum is σ = 280813714272. Its totient is φ = 15382609920.

The previous prime is 68846469119. The next prime is 68846469149. The reversal of 68846469120 is 2196464886.

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

It is a super-2 number, since 2×68846469120² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105430714 + ... + 105431366.

Almost surely, 2^68846469120 is an apocalyptic number.

68846469120 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 68846469120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140406857136).

68846469120 is an abundant number, since it is smaller than the sum of its proper divisors (211967245152).

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

68846469120 is a wasteful number, since it uses less digits than its factorization.

68846469120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 68846469120 in words is "sixty-eight billion, eight hundred forty-six million, four hundred sixty-nine thousand, one hundred twenty".