68615310240 has 288 divisors, whose sum is σ = 252130656960. Its totient is φ = 16928858112.

The previous prime is 68615310221. The next prime is 68615310277. The reversal of 68615310240 is 4201351686.

It is a happy number.

68615310240 is a `hidden beast` number, since 6 + 8 + 615 + 3 + 10 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 68615310195 and 68615310204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1420567 + ... + 1468073.

It is an arithmetic number, because the mean of its divisors is an integer number (875453670).

Almost surely, 2^68615310240 is an apocalyptic number.

68615310240 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 68615310240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126065328480).

68615310240 is an abundant number, since it is smaller than the sum of its proper divisors (183515346720).

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

68615310240 is a wasteful number, since it uses less digits than its factorization.

68615310240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47604 (or 47593 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 68615310240 in words is "sixty-eight billion, six hundred fifteen million, three hundred ten thousand, two hundred forty".