6432081570432 has 768 divisors, whose sum is σ = 22085957836800. Its totient is φ = 1758197145600.

The previous prime is 6432081570413. The next prime is 6432081570517. The reversal of 6432081570432 is 2340751802346.

6432081570432 is a `hidden beast` number, since 6 + 4 + 3 + 208 + 1 + 5 + 7 + 0 + 432 = 666.

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, 10391084619 + ... + 10391085237.

It is an arithmetic number, because the mean of its divisors is an integer number (28757757600).

Almost surely, 2^{6432081570432} is an apocalyptic number.

6432081570432 is a gapful number since it is divisible by the number (62) 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 6432081570432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11042978918400).

6432081570432 is an abundant number, since it is smaller than the sum of its proper divisors (15653876266368).

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

6432081570432 is a wasteful number, since it uses less digits than its factorization.

6432081570432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 6432081570432 in words is "six trillion, four hundred thirty-two billion, eighty-one million, five hundred seventy thousand, four hundred thirty-two".