68624261160 has 256 divisors, whose sum is σ = 254702568960. Its totient is φ = 14403502080.

The previous prime is 68624261117. The next prime is 68624261171. The reversal of 68624261160 is 6116242686.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2091280 + ... + 2123840.

It is an arithmetic number, because the mean of its divisors is an integer number (994931910).

Almost surely, 2^68624261160 is an apocalyptic number.

68624261160 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 68624261160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127351284480).

68624261160 is an abundant number, since it is smaller than the sum of its proper divisors (186078307800).

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

68624261160 is a wasteful number, since it uses less digits than its factorization.

68624261160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32788 (or 32784 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 68624261160 in words is "sixty-eight billion, six hundred twenty-four million, two hundred sixty-one thousand, one hundred sixty".