4932967872 has 448 divisors, whose sum is σ = 16901038080. Its totient is φ = 1237192704.

The previous prime is 4932967859. The next prime is 4932967937. The reversal of 4932967872 is 2787692394.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21731023 + ... + 21731249.

Almost surely, 2^4932967872 is an apocalyptic number.

4932967872 is a gapful number since it is divisible by the number (42) 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 4932967872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8450519040).

4932967872 is an abundant number, since it is smaller than the sum of its proper divisors (11968070208).

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

4932967872 is a wasteful number, since it uses less digits than its factorization.

4932967872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 318 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 57.

The square root of 4932967872 is about 70235.0900334014. The cubic root of 4932967872 is about 1702.2999862924.

The spelling of 4932967872 in words is "four billion, nine hundred thirty-two million, nine hundred sixty-seven thousand, eight hundred seventy-two".