68924803046400 has 4752 divisors, whose sum is σ = 323063473614336. Its totient is φ = 14460762193920.

The previous prime is 68924803046387. The next prime is 68924803046443. The reversal of 68924803046400 is 464030842986.

68924803046400 is a `hidden beast` number, since 6 + 8 + 92 + 4 + 80 + 30 + 46 + 400 = 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 431 ways as a sum of consecutive naturals, for example, 243550540659 + ... + 243550540941.

Almost surely, 2^{68924803046400} is an apocalyptic number.

68924803046400 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 68924803046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161531736807168).

68924803046400 is an abundant number, since it is smaller than the sum of its proper divisors (254138670567936).

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

68924803046400 is a wasteful number, since it uses less digits than its factorization.

68924803046400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 68924803046400 in words is "sixty-eight trillion, nine hundred twenty-four billion, eight hundred three million, forty-six thousand, four hundred".