68724264960 has 1248 divisors, whose sum is σ = 283364040960. Its totient is φ = 15259926528.

The previous prime is 68724264949. The next prime is 68724264997. The reversal of 68724264960 is 6946242786.

68724264960 is a `hidden beast` number, since 68 + 72 + 4 + 26 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a junction number, because it is equal to n+sod(n) for n = 68724264897 and 68724264906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1598238699 + ... + 1598238741.

It is an arithmetic number, because the mean of its divisors is an integer number (227054520).

Almost surely, 2^68724264960 is an apocalyptic number.

68724264960 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 68724264960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141682020480).

68724264960 is an abundant number, since it is smaller than the sum of its proper divisors (214639776000).

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

68724264960 is a wasteful number, since it uses less digits than its factorization.

68724264960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 68724264960 in words is "sixty-eight billion, seven hundred twenty-four million, two hundred sixty-four thousand, nine hundred sixty".