6465300480 has 432 divisors, whose sum is σ = 23470885620. Its totient is φ = 1645608960.

The previous prime is 6465300473. The next prime is 6465300503. The reversal of 6465300480 is 840035646.

6465300480 is a `hidden beast` number, since 6 + 46 + 530 + 0 + 4 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6456443904 + 8856576 = 80352^2 + 2976^2 .

It is a super-2 number, since 2×6465300480² = 83600220593376460800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 88565724 + ... + 88565796.

Almost surely, 2^6465300480 is an apocalyptic number.

6465300480 is a gapful number since it is divisible by the number (60) 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 6465300480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11735442810).

6465300480 is an abundant number, since it is smaller than the sum of its proper divisors (17005585140).

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

6465300480 is a wasteful number, since it uses less digits than its factorization.

6465300480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 6465300480 is about 80407.0922245047. The cubic root of 6465300480 is about 1862.9287194090.

The spelling of 6465300480 in words is "six billion, four hundred sixty-five million, three hundred thousand, four hundred eighty".