8742961416 has 192 divisors, whose sum is σ = 28339761600. Its totient is φ = 2227212288.

The previous prime is 8742961379. The next prime is 8742961429. The reversal of 8742961416 is 6141692478.

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, 368340 + ... + 391356.

It is an arithmetic number, because the mean of its divisors is an integer number (147602925).

Almost surely, 2^8742961416 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 8742961416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14169880800).

8742961416 is an abundant number, since it is smaller than the sum of its proper divisors (19596800184).

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

8742961416 is a wasteful number, since it uses less digits than its factorization.

8742961416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23076 (or 23065 counting only the distinct ones).

The product of its digits is 580608, while the sum is 48.

The square root of 8742961416 is about 93503.8042862428. The cubic root of 8742961416 is about 2060.0899681070.

The spelling of 8742961416 in words is "eight billion, seven hundred forty-two million, nine hundred sixty-one thousand, four hundred sixteen".