6454783564800 has 528 divisors, whose sum is σ = 21607382634240. Its totient is φ = 1699277045760.

The previous prime is 6454783564751. The next prime is 6454783564819. The reversal of 6454783564800 is 84653874546.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2998040524 + ... + 2998042676.

Almost surely, 2^{6454783564800} is an apocalyptic number.

6454783564800 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 6454783564800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10803691317120).

6454783564800 is an abundant number, since it is smaller than the sum of its proper divisors (15152599069440).

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

6454783564800 is a wasteful number, since it uses less digits than its factorization.

6454783564800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2668 (or 2645 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 60.

The spelling of 6454783564800 in words is "six trillion, four hundred fifty-four billion, seven hundred eighty-three million, five hundred sixty-four thousand, eight hundred".