68635607040 has 1920 divisors, whose sum is σ = 338218352640. Its totient is φ = 12740198400.

The previous prime is 68635607023. The next prime is 68635607041. The reversal of 68635607040 is 4070653686.

68635607040 is a `hidden beast` number, since 6 + 8 + 6 + 35 + 607 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is not an unprimeable number, because it can be changed into a prime (68635607041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2214051825 + ... + 2214051855.

It is an arithmetic number, because the mean of its divisors is an integer number (176155392).

Almost surely, 2^68635607040 is an apocalyptic number.

68635607040 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 68635607040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169109176320).

68635607040 is an abundant number, since it is smaller than the sum of its proper divisors (269582745600).

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

68635607040 is a wasteful number, since it uses less digits than its factorization.

68635607040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 68635607040 in words is "sixty-eight billion, six hundred thirty-five million, six hundred seven thousand, forty".