6433932960 has 576 divisors, whose sum is σ = 27773770752. Its totient is φ = 1319804928.

The previous prime is 6433932943. The next prime is 6433932979. The reversal of 6433932960 is 692393346.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4847817 + ... + 4849143.

It is an arithmetic number, because the mean of its divisors is an integer number (48218352).

Almost surely, 2^6433932960 is an apocalyptic number.

6433932960 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 6433932960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13886885376).

6433932960 is an abundant number, since it is smaller than the sum of its proper divisors (21339837792).

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

6433932960 is a wasteful number, since it uses less digits than its factorization.

6433932960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1405 (or 1394 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 45.

The square root of 6433932960 is about 80211.8006280871. The cubic root of 6433932960 is about 1859.9110606103.

The spelling of 6433932960 in words is "six billion, four hundred thirty-three million, nine hundred thirty-two thousand, nine hundred sixty".