4718697984 has 960 divisors, whose sum is σ = 19505418240. Its totient is φ = 1094860800.

The previous prime is 4718697983. The next prime is 4718698001. The reversal of 4718697984 is 4897968174.

4718697984 is a `hidden beast` number, since 471 + 86 + 9 + 7 + 9 + 84 = 666.

It is a super-2 number, since 2×4718697984² = 44532221328411328512, which contains 22 as substring.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4718697983) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 152216049 + ... + 152216079.

It is an arithmetic number, because the mean of its divisors is an integer number (20318144).

Almost surely, 2^4718697984 is an apocalyptic number.

4718697984 is a gapful number since it is divisible by the number (44) 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 4718697984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9752709120).

4718697984 is an abundant number, since it is smaller than the sum of its proper divisors (14786720256).

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

4718697984 is a wasteful number, since it uses less digits than its factorization.

4718697984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 67 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 63.

The square root of 4718697984 is about 68692.7797079140. The cubic root of 4718697984 is about 1677.2870499189.

The spelling of 4718697984 in words is "four billion, seven hundred eighteen million, six hundred ninety-seven thousand, nine hundred eighty-four".