68821401600 has 1080 divisors, whose sum is σ = 296444359680. Its totient is φ = 15606743040.

The previous prime is 68821401599. The next prime is 68821401613. The reversal of 68821401600 is 610412886.

68821401600 is a `hidden beast` number, since 6 + 8 + 8 + 2 + 1 + 40 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 541900737 + ... + 541900863.

Almost surely, 2^68821401600 is an apocalyptic number.

68821401600 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 68821401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148222179840).

68821401600 is an abundant number, since it is smaller than the sum of its proper divisors (227622958080).

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

68821401600 is a wasteful number, since it uses less digits than its factorization.

68821401600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 68821401600 in words is "sixty-eight billion, eight hundred twenty-one million, four hundred one thousand, six hundred".