4612443264 has 768 divisors, whose sum is σ = 17402636160. Its totient is φ = 1194393600.

The previous prime is 4612443259. The next prime is 4612443271. The reversal of 4612443264 is 4623442164.

4612443264 is a `hidden beast` number, since 4 + 612 + 4 + 4 + 32 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 75613794 + ... + 75613854.

Almost surely, 2^4612443264 is an apocalyptic number.

4612443264 is a gapful number since it is divisible by the number (44) 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 4612443264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8701318080).

4612443264 is an abundant number, since it is smaller than the sum of its proper divisors (12790192896).

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

4612443264 is a wasteful number, since it uses less digits than its factorization.

4612443264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 107 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The square root of 4612443264 is about 67914.9708385419. The cubic root of 4612443264 is about 1664.6017455080.

The spelling of 4612443264 in words is "four billion, six hundred twelve million, four hundred forty-three thousand, two hundred sixty-four".