6453984576 has 112 divisors (see below), whose sum is σ = 18664675904. Its totient is φ = 1956151296.

The previous prime is 6453984569. The next prime is 6453984583. The reversal of 6453984576 is 6754893546.

It is an interprime number because it is at equal distance from previous prime (6453984569) and next prime (6453984583).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147936 + ... + 186528.

It is an arithmetic number, because the mean of its divisors is an integer number (166648892).

Almost surely, 2^6453984576 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 6453984576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9332337952).

6453984576 is an abundant number, since it is smaller than the sum of its proper divisors (12210691328).

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

6453984576 is a wasteful number, since it uses less digits than its factorization.

6453984576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38688 (or 38678 counting only the distinct ones).

The product of its digits is 21772800, while the sum is 57.

The square root of 6453984576 is about 80336.6950776543. The cubic root of 6453984576 is about 1861.8412198956.

The spelling of 6453984576 in words is "six billion, four hundred fifty-three million, nine hundred eighty-four thousand, five hundred seventy-six".