4533967872 has 528 divisors, whose sum is σ = 16451984640. Its totient is φ = 1218281472.

The previous prime is 4533967861. The next prime is 4533967931. The reversal of 4533967872 is 2787693354.

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

Its product of digits (7620480) is a multiple of the sum of its prime divisors (168).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33094588 + ... + 33094724.

Almost surely, 2^4533967872 is an apocalyptic number.

4533967872 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 4533967872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8225992320).

4533967872 is an abundant number, since it is smaller than the sum of its proper divisors (11918016768).

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

4533967872 is a wasteful number, since it uses less digits than its factorization.

4533967872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 168 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The square root of 4533967872 is about 67334.7449092963. The cubic root of 4533967872 is about 1655.1072692981.

The spelling of 4533967872 in words is "four billion, five hundred thirty-three million, nine hundred sixty-seven thousand, eight hundred seventy-two".