68859564480 has 560 divisors, whose sum is σ = 281545076736. Its totient is φ = 15649044480.

The previous prime is 68859564467. The next prime is 68859564497. The reversal of 68859564480 is 8446595886.

68859564480 is a `hidden beast` number, since 6 + 8 + 8 + 5 + 95 + 64 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 34654047 + ... + 34656033.

Almost surely, 2^68859564480 is an apocalyptic number.

68859564480 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 68859564480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140772538368).

68859564480 is an abundant number, since it is smaller than the sum of its proper divisors (212685512256).

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

68859564480 is a wasteful number, since it uses less digits than its factorization.

68859564480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2214 (or 2195 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 63.

The spelling of 68859564480 in words is "sixty-eight billion, eight hundred fifty-nine million, five hundred sixty-four thousand, four hundred eighty".