4967473984 has 168 divisors, whose sum is σ = 11620332360. Its totient is φ = 2097807360.

The previous prime is 4967473949. The next prime is 4967474053. The reversal of 4967473984 is 4893747694.

It can be written as a sum of positive squares in 4 ways, for example, as 669360384 + 4298113600 = 25872^2 + 65560^2 .

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 12769662 + ... + 12770050.

It is an arithmetic number, because the mean of its divisors is an integer number (69168645).

Almost surely, 2^4967473984 is an apocalyptic number.

4967473984 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 4967473984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5810166180).

4967473984 is an abundant number, since it is smaller than the sum of its proper divisors (6652858376).

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

4967473984 is a wasteful number, since it uses less digits than its factorization.

4967473984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 516 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 61.

The square root of 4967473984 is about 70480.3091934194. The cubic root of 4967473984 is about 1706.2599635819.

The spelling of 4967473984 in words is "four billion, nine hundred sixty-seven million, four hundred seventy-three thousand, nine hundred eighty-four".