8465640480 has 480 divisors, whose sum is σ = 33374835648. Its totient is φ = 2003097600.

The previous prime is 8465640479. The next prime is 8465640511. The reversal of 8465640480 is 840465648.

8465640480 is a `hidden beast` number, since 8 + 4 + 6 + 564 + 0 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×8465640480² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6129390 + ... + 6130770.

Almost surely, 2^8465640480 is an apocalyptic number.

8465640480 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 8465640480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16687417824).

8465640480 is an abundant number, since it is smaller than the sum of its proper divisors (24909195168).

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

8465640480 is a wasteful number, since it uses less digits than its factorization.

8465640480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1462 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 8465640480 is about 92008.9152202111. The cubic root of 8465640480 is about 2038.0739606742.

The spelling of 8465640480 in words is "eight billion, four hundred sixty-five million, six hundred forty thousand, four hundred eighty".