68345640000 has 840 divisors, whose sum is σ = 276501616160. Its totient is φ = 16536960000.

The previous prime is 68345639987. The next prime is 68345640023. The reversal of 68345640000 is 4654386.

68345640000 is a `hidden beast` number, since 6 + 8 + 3 + 4 + 5 + 640 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×68345640000² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 130679739 + ... + 130680261.

Almost surely, 2^68345640000 is an apocalyptic number.

68345640000 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 68345640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138250808080).

68345640000 is an abundant number, since it is smaller than the sum of its proper divisors (208155976160).

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

68345640000 is a wasteful number, since it uses less digits than its factorization.

68345640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 68345640000 in words is "sixty-eight billion, three hundred forty-five million, six hundred forty thousand".