6432040000 has 105 divisors (see below), whose sum is σ = 15989241961. Its totient is φ = 2566400000.

The previous prime is 6432039983. The next prime is 6432040039. The reversal of 6432040000 is 402346.

6432040000 = 1³ + 2³ + ... + 400³.

The square root of 6432040000 is 80200.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 901440576 + 5530599424 = 30024^2 + 74368^2 .

It is a super-2 number, since 2×6432040000² = 82742277123200000000, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 6432040000.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 16039800 + ... + 16040200.

Almost surely, 2^6432040000 is an apocalyptic number.

6432040000 is the 80200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6432040000

6432040000 is an abundant number, since it is smaller than the sum of its proper divisors (9557201961).

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

6432040000 is an frugal number, since it uses more digits than its factorization.

6432040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The cubic root of 6432040000 is about 1859.7286381011.

Multiplying 6432040000 by its product of nonzero digits (576), we get a square (3704855040000 = 1924800²).

Adding to 6432040000 its reverse (402346), we get a palindrome (6432442346).

The spelling of 6432040000 in words is "six billion, four hundred thirty-two million, forty thousand".