6432048000 has 640 divisors, whose sum is σ = 27339998400. Its totient is φ = 1468108800.

The previous prime is 6432047959. The next prime is 6432048023. The reversal of 6432048000 is 8402346.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9071646 + ... + 9072354.

Almost surely, 2^6432048000 is an apocalyptic number.

6432048000 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 6432048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13669999200).

6432048000 is an abundant number, since it is smaller than the sum of its proper divisors (20907950400).

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

6432048000 is an equidigital number, since it uses as much as digits as its factorization.

6432048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 6432048000 is about 80200.0498752962. The cubic root of 6432048000 is about 1859.7294091278.

The spelling of 6432048000 in words is "six billion, four hundred thirty-two million, forty-eight thousand".