6432540576 has 384 divisors, whose sum is σ = 22394050560. Its totient is φ = 1567641600.

The previous prime is 6432540559. The next prime is 6432540589. The reversal of 6432540576 is 6750452346.

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 63 ways as a sum of consecutive naturals, for example, 7931211 + ... + 7932021.

It is an arithmetic number, because the mean of its divisors is an integer number (58317840).

Almost surely, 2^6432540576 is an apocalyptic number.

6432540576 is a gapful number since it is divisible by the number (66) 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 6432540576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11197025280).

6432540576 is an abundant number, since it is smaller than the sum of its proper divisors (15961509984).

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

6432540576 is a wasteful number, since it uses less digits than its factorization.

6432540576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 42.

The square root of 6432540576 is about 80203.1207372880. The cubic root of 6432540576 is about 1859.7768815497.

The spelling of 6432540576 in words is "six billion, four hundred thirty-two million, five hundred forty thousand, five hundred seventy-six".