68980507200 has 756 divisors, whose sum is σ = 279568637712. Its totient is φ = 16590873600.

The previous prime is 68980507199. The next prime is 68980507259. The reversal of 68980507200 is 270508986.

68980507200 is a `hidden beast` number, since 68 + 9 + 80 + 507 + 2 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 543153537 + ... + 543153663.

Almost surely, 2^68980507200 is an apocalyptic number.

68980507200 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 68980507200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139784318856).

68980507200 is an abundant number, since it is smaller than the sum of its proper divisors (210588130512).

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

68980507200 is a wasteful number, since it uses less digits than its factorization.

68980507200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 68980507200 in words is "sixty-eight billion, nine hundred eighty million, five hundred seven thousand, two hundred".