6454579824 has 320 divisors, whose sum is σ = 23484687360. Its totient is φ = 1648512000.

The previous prime is 6454579759. The next prime is 6454579913. The reversal of 6454579824 is 4289754546.

6454579824 is a `hidden beast` number, since 6 + 4 + 545 + 7 + 98 + 2 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2027514 + ... + 2030694.

It is an arithmetic number, because the mean of its divisors is an integer number (73389648).

Almost surely, 2^6454579824 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 6454579824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11742343680).

6454579824 is an abundant number, since it is smaller than the sum of its proper divisors (17030107536).

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

6454579824 is a wasteful number, since it uses less digits than its factorization.

6454579824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3277 (or 3265 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The square root of 6454579824 is about 80340.3997002753. The cubic root of 6454579824 is about 1861.8984570529.

The spelling of 6454579824 in words is "six billion, four hundred fifty-four million, five hundred seventy-nine thousand, eight hundred twenty-four".