4864167936 has 234 divisors, whose sum is σ = 14670588842. Its totient is φ = 1612431360.

The previous prime is 4864167911. The next prime is 4864167947. The reversal of 4864167936 is 6397614684.

It can be written as a sum of positive squares in only one way, i.e., 2687385600 + 2176782336 = 51840^2 + 46656^2 .

It is a super-2 number, since 2×4864167936² = 47320259419221000192, which contains 22 as substring.

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

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 17 ways as a sum of consecutive naturals, for example, 26873766 + ... + 26873946.

Almost surely, 2^4864167936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4864167936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7335294421).

4864167936 is an abundant number, since it is smaller than the sum of its proper divisors (9806420906).

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

4864167936 is an frugal number, since it uses more digits than its factorization.

4864167936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 186 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 4864167936 is about 69743.5870600301. The cubic root of 4864167936 is about 1694.3489331286.

The spelling of 4864167936 in words is "four billion, eight hundred sixty-four million, one hundred sixty-seven thousand, nine hundred thirty-six".