6430893000 has 256 divisors, whose sum is σ = 23020208640. Its totient is φ = 1464192000.

The previous prime is 6430892981. The next prime is 6430893013. The reversal of 6430893000 is 3980346.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7832590 + ... + 7833410.

It is an arithmetic number, because the mean of its divisors is an integer number (89922690).

Almost surely, 2^6430893000 is an apocalyptic number.

6430893000 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 6430893000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11510104320).

6430893000 is an abundant number, since it is smaller than the sum of its proper divisors (16589315640).

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

6430893000 is a wasteful number, since it uses less digits than its factorization.

6430893000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 6430893000 is about 80192.8488083570. The cubic root of 6430893000 is about 1859.6180855363.

The spelling of 6430893000 in words is "six billion, four hundred thirty million, eight hundred ninety-three thousand".