68480899200 has 1152 divisors, whose sum is σ = 302750622720. Its totient is φ = 14944849920.

The previous prime is 68480899199. The next prime is 68480899243. The reversal of 68480899200 is 299808486.

68480899200 is a `hidden beast` number, since 68 + 480 + 89 + 9 + 20 + 0 = 666.

68480899200 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 (1152).

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 143 ways as a sum of consecutive naturals, for example, 125193327 + ... + 125193873.

It is an arithmetic number, because the mean of its divisors is an integer number (262804360).

Almost surely, 2^68480899200 is an apocalyptic number.

68480899200 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 68480899200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151375311360).

68480899200 is an abundant number, since it is smaller than the sum of its proper divisors (234269723520).

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

68480899200 is a wasteful number, since it uses less digits than its factorization.

68480899200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 587 counting only the distinct ones).

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

The spelling of 68480899200 in words is "sixty-eight billion, four hundred eighty million, eight hundred ninety-nine thousand, two hundred".