68276817120 has 192 divisors, whose sum is σ = 227891978496. Its totient is φ = 17123450880.

The previous prime is 68276817109. The next prime is 68276817131. The reversal of 68276817120 is 2171867286.

It is an interprime number because it is at equal distance from previous prime (68276817109) and next prime (68276817131).

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 68276817120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16211815 + ... + 16216025.

It is an arithmetic number, because the mean of its divisors is an integer number (1186937388).

Almost surely, 2^68276817120 is an apocalyptic number.

68276817120 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 68276817120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113945989248).

68276817120 is an abundant number, since it is smaller than the sum of its proper divisors (159615161376).

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

68276817120 is a wasteful number, since it uses less digits than its factorization.

68276817120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6233 (or 6225 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 48.

The spelling of 68276817120 in words is "sixty-eight billion, two hundred seventy-six million, eight hundred seventeen thousand, one hundred twenty".