6453339984 has 300 divisors, whose sum is σ = 23401603764. Its totient is φ = 1701762048.

The previous prime is 6453339973. The next prime is 6453339989. The reversal of 6453339984 is 4899333546.

It can be written as a sum of positive squares in 2 ways, for example, as 311169600 + 6142170384 = 17640^2 + 78372^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 6453339984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6453339989) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 821644 + ... + 829460.

Almost surely, 2^6453339984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6453339984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11700801882).

6453339984 is an abundant number, since it is smaller than the sum of its proper divisors (16948263780).

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

6453339984 is a wasteful number, since it uses less digits than its factorization.

6453339984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7864 (or 7842 counting only the distinct ones).

The product of its digits is 8398080, while the sum is 54.

The square root of 6453339984 is about 80332.6831619609. The cubic root of 6453339984 is about 1861.7792340067.

The spelling of 6453339984 in words is "six billion, four hundred fifty-three million, three hundred thirty-nine thousand, nine hundred eighty-four".