6433958640 has 80 divisors (see below), whose sum is σ = 20010469248. Its totient is φ = 1710114048.

The previous prime is 6433958633. The next prime is 6433958653. The reversal of 6433958640 is 468593346.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6433958640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30019 + ... + 117341.

Almost surely, 2^6433958640 is an apocalyptic number.

6433958640 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 6433958640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10005234624).

6433958640 is an abundant number, since it is smaller than the sum of its proper divisors (13576510608).

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

6433958640 is a wasteful number, since it uses less digits than its factorization.

6433958640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87646 (or 87640 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The square root of 6433958640 is about 80211.9607041244. The cubic root of 6433958640 is about 1859.9135351181.

The spelling of 6433958640 in words is "six billion, four hundred thirty-three million, nine hundred fifty-eight thousand, six hundred forty".