8297412480 has 384 divisors, whose sum is σ = 34471756800. Its totient is φ = 1796567040.

The previous prime is 8297412463. The next prime is 8297412493. The reversal of 8297412480 is 842147928.

8297412480 is a `hidden beast` number, since 82 + 97 + 4 + 1 + 2 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

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, 760665 + ... + 771495.

It is an arithmetic number, because the mean of its divisors is an integer number (89770200).

Almost surely, 2^8297412480 is an apocalyptic number.

8297412480 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 8297412480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17235878400).

8297412480 is an abundant number, since it is smaller than the sum of its proper divisors (26174344320).

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

8297412480 is a wasteful number, since it uses less digits than its factorization.

8297412480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10882 (or 10867 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 8297412480 is about 91090.1338235926. The cubic root of 8297412480 is about 2024.4834311082.

The spelling of 8297412480 in words is "eight billion, two hundred ninety-seven million, four hundred twelve thousand, four hundred eighty".