6457484880 has 480 divisors, whose sum is σ = 27200759040. Its totient is φ = 1333739520.

The previous prime is 6457484879. The next prime is 6457484911. The reversal of 6457484880 is 884847546.

6457484880 is a `hidden beast` number, since 64 + 574 + 8 + 4 + 8 + 8 + 0 = 666.

It is a super-4 number, since 4×6457484880⁴ (a number of 40 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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 95 ways as a sum of consecutive naturals, for example, 14913144 + ... + 14913576.

It is an arithmetic number, because the mean of its divisors is an integer number (56668248).

Almost surely, 2^6457484880 is an apocalyptic number.

6457484880 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 6457484880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13600379520).

6457484880 is an abundant number, since it is smaller than the sum of its proper divisors (20743274160).

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

6457484880 is a wasteful number, since it uses less digits than its factorization.

6457484880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The square root of 6457484880 is about 80358.4773374907. The cubic root of 6457484880 is about 1862.1777475288.

The spelling of 6457484880 in words is "six billion, four hundred fifty-seven million, four hundred eighty-four thousand, eight hundred eighty".