8415912960 has 880 divisors, whose sum is σ = 37283828736. Its totient is φ = 1767702528.

The previous prime is 8415912949. The next prime is 8415912961. The reversal of 8415912960 is 692195148.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8415912961) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 37739409 + ... + 37739631.

Almost surely, 2^8415912960 is an apocalyptic number.

8415912960 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 8415912960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18641914368).

8415912960 is an abundant number, since it is smaller than the sum of its proper divisors (28867915776).

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

8415912960 is a wasteful number, since it uses less digits than its factorization.

8415912960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 8415912960 is about 91738.2851376676. The cubic root of 8415912960 is about 2034.0755447442.

The spelling of 8415912960 in words is "eight billion, four hundred fifteen million, nine hundred twelve thousand, nine hundred sixty".