8415016960 has 288 divisors, whose sum is σ = 24290098560. Its totient is φ = 2786918400.

The previous prime is 8415016921. The next prime is 8415017021. The reversal of 8415016960 is 696105148.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15554290 + ... + 15554830.

It is an arithmetic number, because the mean of its divisors is an integer number (84340620).

Almost surely, 2^8415016960 is an apocalyptic number.

8415016960 is a gapful number since it is divisible by the number (80) 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 8415016960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12145049280).

8415016960 is an abundant number, since it is smaller than the sum of its proper divisors (15875081600).

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

8415016960 is a wasteful number, since it uses less digits than its factorization.

8415016960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The square root of 8415016960 is about 91733.4015503622. The cubic root of 8415016960 is about 2034.0033562453.

The spelling of 8415016960 in words is "eight billion, four hundred fifteen million, sixteen thousand, nine hundred sixty".