8730105408 has 168 divisors, whose sum is σ = 26639215200. Its totient is φ = 2725595136.

The previous prime is 8730105403. The next prime is 8730105431. The reversal of 8730105408 is 8045010378.

8730105408 is a `hidden beast` number, since 87 + 30 + 1 + 0 + 540 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (8730105403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 969535 + ... + 978497.

Almost surely, 2^8730105408 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 8730105408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13319607600).

8730105408 is an abundant number, since it is smaller than the sum of its proper divisors (17909109792).

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

8730105408 is a wasteful number, since it uses less digits than its factorization.

8730105408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9089 (or 9076 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 8730105408 is about 93435.0330871670. The cubic root of 8730105408 is about 2059.0797259332.

The spelling of 8730105408 in words is "eight billion, seven hundred thirty million, one hundred five thousand, four hundred eight".