68821968600 has 1152 divisors, whose sum is σ = 305880422400. Its totient is φ = 13913856000.

The previous prime is 68821968583. The next prime is 68821968667. The reversal of 68821968600 is 686912886.

It is a happy number.

68821968600 is a `hidden beast` number, since 6 + 8 + 8 + 21 + 9 + 6 + 8 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 187525617 + ... + 187525983.

It is an arithmetic number, because the mean of its divisors is an integer number (265521200).

Almost surely, 2^68821968600 is an apocalyptic number.

68821968600 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 68821968600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152940211200).

68821968600 is an abundant number, since it is smaller than the sum of its proper divisors (237058453800).

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

68821968600 is a wasteful number, since it uses less digits than its factorization.

68821968600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 68821968600 in words is "sixty-eight billion, eight hundred twenty-one million, nine hundred sixty-eight thousand, six hundred".