6254889984 has 594 divisors, whose sum is σ = 22964760780. Its totient is φ = 1693052928.

The previous prime is 6254889959. The next prime is 6254890001. The reversal of 6254889984 is 4899884526.

6254889984 is a `hidden beast` number, since 6 + 2 + 548 + 8 + 9 + 9 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 329204727 + ... + 329204745.

Almost surely, 2^6254889984 is an apocalyptic number.

6254889984 is a gapful number since it is divisible by the number (64) 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 6254889984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11482380390).

6254889984 is an abundant number, since it is smaller than the sum of its proper divisors (16709870796).

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

6254889984 is an frugal number, since it uses more digits than its factorization.

6254889984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 31 counting only the distinct ones).

The product of its digits is 39813120, while the sum is 63.

The square root of 6254889984 is about 79087.8624316020. The cubic root of 6254889984 is about 1842.4960202233.

The spelling of 6254889984 in words is "six billion, two hundred fifty-four million, eight hundred eighty-nine thousand, nine hundred eighty-four".