6460464480 has 384 divisors, whose sum is σ = 22481141760. Its totient is φ = 1554094080.

The previous prime is 6460464463. The next prime is 6460464529. The reversal of 6460464480 is 844640646.

It is a happy number.

It is a super-3 number, since 3×6460464480³ (a number of 30 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14716101 + ... + 14716539.

It is an arithmetic number, because the mean of its divisors is an integer number (58544640).

Almost surely, 2^6460464480 is an apocalyptic number.

6460464480 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 6460464480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11240570880).

6460464480 is an abundant number, since it is smaller than the sum of its proper divisors (16020677280).

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

6460464480 is a wasteful number, since it uses less digits than its factorization.

6460464480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 42.

The square root of 6460464480 is about 80377.0146248292. The cubic root of 6460464480 is about 1862.4641176217.

The spelling of 6460464480 in words is "six billion, four hundred sixty million, four hundred sixty-four thousand, four hundred eighty".