6430814880 has 288 divisors, whose sum is σ = 23869520640. Its totient is φ = 1450874880.

The previous prime is 6430814867. The next prime is 6430814909. The reversal of 6430814880 is 884180346.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 1856350 + ... + 1859810.

It is an arithmetic number, because the mean of its divisors is an integer number (82880280).

Almost surely, 2^6430814880 is an apocalyptic number.

6430814880 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 6430814880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11934760320).

6430814880 is an abundant number, since it is smaller than the sum of its proper divisors (17438705760).

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

6430814880 is a wasteful number, since it uses less digits than its factorization.

6430814880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3572 (or 3557 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 6430814880 is about 80192.3617310277. The cubic root of 6430814880 is about 1859.6105555322.

The spelling of 6430814880 in words is "six billion, four hundred thirty million, eight hundred fourteen thousand, eight hundred eighty".