68062924800 has 1404 divisors, whose sum is σ = 289957468320. Its totient is φ = 15182069760.

The previous prime is 68062924799. The next prime is 68062924829. The reversal of 68062924800 is 842926086.

68062924800 is a `hidden beast` number, since 6 + 80 + 6 + 2 + 92 + 480 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2959257589 + ... + 2959257611.

Almost surely, 2^68062924800 is an apocalyptic number.

68062924800 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 68062924800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144978734160).

68062924800 is an abundant number, since it is smaller than the sum of its proper divisors (221894543520).

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

68062924800 is a wasteful number, since it uses less digits than its factorization.

68062924800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 68062924800 in words is "sixty-eight billion, sixty-two million, nine hundred twenty-four thousand, eight hundred".