68684187264 has 256 divisors, whose sum is σ = 234801192960. Its totient is φ = 17264332800.

The previous prime is 68684187259. The next prime is 68684187281. The reversal of 68684187264 is 46278148686.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 68684187198 and 68684187207.

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, 879142 + ... + 954074.

It is an arithmetic number, because the mean of its divisors is an integer number (917192160).

Almost surely, 2^68684187264 is an apocalyptic number.

68684187264 is a gapful number since it is divisible by the number (64) 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 68684187264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117400596480).

68684187264 is an abundant number, since it is smaller than the sum of its proper divisors (166117005696).

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

68684187264 is a wasteful number, since it uses less digits than its factorization.

68684187264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74999 (or 74987 counting only the distinct ones).

The product of its digits is 24772608, while the sum is 60.

The spelling of 68684187264 in words is "sixty-eight billion, six hundred eighty-four million, one hundred eighty-seven thousand, two hundred sixty-four".