70017585408 has 144 divisors (see below), whose sum is σ = 207419069760. Its totient is φ = 23298084864.

The previous prime is 70017585403. The next prime is 70017585419. The reversal of 70017585408 is 80458571007.

It is a happy number.

70017585408 is a `hidden beast` number, since 70 + 0 + 175 + 8 + 5 + 408 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (70017585403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4048716 + ... + 4065972.

Almost surely, 2^70017585408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70017585408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103709534880).

70017585408 is an abundant number, since it is smaller than the sum of its proper divisors (137401484352).

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

70017585408 is a wasteful number, since it uses less digits than its factorization.

70017585408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17869 (or 17849 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 45.

The spelling of 70017585408 in words is "seventy billion, seventeen million, five hundred eighty-five thousand, four hundred eight".