6412329000 has 768 divisors, whose sum is σ = 28502323200. Its totient is φ = 1259712000.

The previous prime is 6412328983. The next prime is 6412329023. The reversal of 6412329000 is 9232146.

It is a super-2 number, since 2×6412329000² = 82235926408482000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13166757 + ... + 13167243.

It is an arithmetic number, because the mean of its divisors is an integer number (37112400).

Almost surely, 2^6412329000 is an apocalyptic number.

6412329000 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 6412329000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14251161600).

6412329000 is an abundant number, since it is smaller than the sum of its proper divisors (22089994200).

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

6412329000 is a wasteful number, since it uses less digits than its factorization.

6412329000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 6412329000 is about 80077.0191752915. The cubic root of 6412329000 is about 1857.8269801341.

The spelling of 6412329000 in words is "six billion, four hundred twelve million, three hundred twenty-nine thousand".