4812591672 has 192 divisors, whose sum is σ = 15520377600. Its totient is φ = 1368576000.

The previous prime is 4812591661. The next prime is 4812591697. The reversal of 4812591672 is 2761952184.

4812591672 is a `hidden beast` number, since 48 + 12 + 591 + 6 + 7 + 2 = 666.

It is a super-2 number, since 2×4812591672² = 46322077202807511168, which contains 22 as substring.

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, 3414904 + ... + 3416312.

It is an arithmetic number, because the mean of its divisors is an integer number (80835300).

Almost surely, 2^4812591672 is an apocalyptic number.

4812591672 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 4812591672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7760188800).

4812591672 is an abundant number, since it is smaller than the sum of its proper divisors (10707785928).

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

4812591672 is a wasteful number, since it uses less digits than its factorization.

4812591672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1688 (or 1672 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 4812591672 is about 69372.8453503242. The cubic root of 4812591672 is about 1688.3390742742.

The spelling of 4812591672 in words is "four billion, eight hundred twelve million, five hundred ninety-one thousand, six hundred seventy-two".