6478741584 has 360 divisors, whose sum is σ = 22599053568. Its totient is φ = 1789724160.

The previous prime is 6478741579. The next prime is 6478741589. The reversal of 6478741584 is 4851478746.

It is an interprime number because it is at equal distance from previous prime (6478741579) and next prime (6478741589).

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 6478741584.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6478741589) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5905324 + ... + 5906420.

Almost surely, 2^6478741584 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 6478741584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11299526784).

6478741584 is an abundant number, since it is smaller than the sum of its proper divisors (16120311984).

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

6478741584 is a wasteful number, since it uses less digits than its factorization.

6478741584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165 (or 1140 counting only the distinct ones).

The product of its digits is 6021120, while the sum is 54.

The square root of 6478741584 is about 80490.6304112472. The cubic root of 6478741584 is about 1864.2188108486.

The spelling of 6478741584 in words is "six billion, four hundred seventy-eight million, seven hundred forty-one thousand, five hundred eighty-four".