8415878016 has 512 divisors, whose sum is σ = 30137425920. Its totient is φ = 2017198080.

The previous prime is 8415877991. The next prime is 8415878017. The reversal of 8415878016 is 6108785148.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8415878017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18415260 + ... + 18415716.

It is an arithmetic number, because the mean of its divisors is an integer number (58862160).

Almost surely, 2^8415878016 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 8415878016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15068712960).

8415878016 is an abundant number, since it is smaller than the sum of its proper divisors (21721547904).

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

8415878016 is a wasteful number, since it uses less digits than its factorization.

8415878016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 48.

The square root of 8415878016 is about 91738.0946826344. The cubic root of 8415878016 is about 2034.0727294888.

The spelling of 8415878016 in words is "eight billion, four hundred fifteen million, eight hundred seventy-eight thousand, sixteen".