8742015408 has 320 divisors, whose sum is σ = 27402246144. Its totient is φ = 2350080000.

The previous prime is 8742015397. The next prime is 8742015433. The reversal of 8742015408 is 8045102478.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84873885 + ... + 84873987.

Almost surely, 2^8742015408 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 8742015408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13701123072).

8742015408 is an abundant number, since it is smaller than the sum of its proper divisors (18660230736).

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

8742015408 is a wasteful number, since it uses less digits than its factorization.

8742015408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 39.

The square root of 8742015408 is about 93498.7454889102. The cubic root of 8742015408 is about 2060.0156633113.

The spelling of 8742015408 in words is "eight billion, seven hundred forty-two million, fifteen thousand, four hundred eight".