6284049984 has 147 divisors (see below), whose sum is σ = 18747397227. Its totient is φ = 2088975744.

The previous prime is 6284049979. The next prime is 6284050001. The reversal of 6284049984 is 4899404826.

The square root of 6284049984 is 79272.

It is a perfect power (a square), and thus also a powerful number.

6284049984 is a `hidden beast` number, since 628 + 4 + 0 + 4 + 9 + 9 + 8 + 4 = 666.

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 6284049984.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 17122569 + ... + 17122935.

Almost surely, 2^6284049984 is an apocalyptic number.

6284049984 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

6284049984 is the 79272-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6284049984

6284049984 is an abundant number, since it is smaller than the sum of its proper divisors (12463347243).

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

6284049984 is an frugal number, since it uses more digits than its factorization.

6284049984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The cubic root of 6284049984 is about 1845.3547919717.

The spelling of 6284049984 in words is "six billion, two hundred eighty-four million, forty-nine thousand, nine hundred eighty-four".