6317241984 has 96 divisors (see below), whose sum is σ = 18476735940. Its totient is φ = 2071203840.

The previous prime is 6317241979. The next prime is 6317241991. The reversal of 6317241984 is 4891427136.

6317241984 is a `hidden beast` number, since 6 + 317 + 241 + 98 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4928040000 + 1389201984 = 70200^2 + 37272^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-4 number, since 4×6317241984⁴ (a number of 40 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25324 + ... + 115220.

Almost surely, 2^6317241984 is an apocalyptic number.

6317241984 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 6317241984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9238367970).

6317241984 is an abundant number, since it is smaller than the sum of its proper divisors (12159493956).

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

6317241984 is a wasteful number, since it uses less digits than its factorization.

6317241984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89978 (or 89963 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 6317241984 is about 79481.0794088757. The cubic root of 6317241984 is about 1848.5981085310.

The spelling of 6317241984 in words is "six billion, three hundred seventeen million, two hundred forty-one thousand, nine hundred eighty-four".