68573865600 has 384 divisors, whose sum is σ = 265729420800. Its totient is φ = 17210327040.

The previous prime is 68573865553. The next prime is 68573865641. The reversal of 68573865600 is 656837586.

68573865600 is a `hidden beast` number, since 6 + 8 + 5 + 73 + 8 + 6 + 560 + 0 = 666.

68573865600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1445457 + ... + 1492143.

It is an arithmetic number, because the mean of its divisors is an integer number (692003700).

Almost surely, 2^68573865600 is an apocalyptic number.

68573865600 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 68573865600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132864710400).

68573865600 is an abundant number, since it is smaller than the sum of its proper divisors (197155555200).

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

68573865600 is a wasteful number, since it uses less digits than its factorization.

68573865600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46737 (or 46714 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 68573865600 in words is "sixty-eight billion, five hundred seventy-three million, eight hundred sixty-five thousand, six hundred".