6291298944 has 384 divisors, whose sum is σ = 21879244800. Its totient is φ = 1774338048.

The previous prime is 6291298933. The next prime is 6291298957. The reversal of 6291298944 is 4498921926.

6291298944 is a `hidden beast` number, since 629 + 1 + 2 + 9 + 8 + 9 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a nude number because it is divisible by every one of its digits.

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, 16426177 + ... + 16426559.

It is an arithmetic number, because the mean of its divisors is an integer number (56977200).

Almost surely, 2^6291298944 is an apocalyptic number.

6291298944 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 6291298944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10939622400).

6291298944 is an abundant number, since it is smaller than the sum of its proper divisors (15587945856).

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

6291298944 is a wasteful number, since it uses less digits than its factorization.

6291298944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 492 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 6291298944 is about 79317.7088927813. The cubic root of 6291298944 is about 1846.0640884054.

The spelling of 6291298944 in words is "six billion, two hundred ninety-one million, two hundred ninety-eight thousand, nine hundred forty-four".