5165832672 has 720 divisors, whose sum is σ = 20666501856. Its totient is φ = 1231718400.

The previous prime is 5165832671. The next prime is 5165832677. The reversal of 5165832672 is 2762385615.

5165832672 is a `hidden beast` number, since 5 + 1 + 6 + 583 + 2 + 67 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5165832671) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 28540422 + ... + 28540602.

Almost surely, 2^5165832672 is an apocalyptic number.

5165832672 is a gapful number since it is divisible by the number (52) 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 5165832672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10333250928).

5165832672 is an abundant number, since it is smaller than the sum of its proper divisors (15500669184).

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

5165832672 is a wasteful number, since it uses less digits than its factorization.

5165832672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 217 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 5165832672 is about 71873.7272722098. The cubic root of 5165832672 is about 1728.6753725767.

The spelling of 5165832672 in words is "five billion, one hundred sixty-five million, eight hundred thirty-two thousand, six hundred seventy-two".