4291464672 has 192 divisors, whose sum is σ = 13973541120. Its totient is φ = 1270080000.

The previous prime is 4291464601. The next prime is 4291464679. The reversal of 4291464672 is 2764641924.

4291464672 is a `hidden beast` number, since 42 + 9 + 146 + 467 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4291464679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 403422 + ... + 413922.

It is an arithmetic number, because the mean of its divisors is an integer number (72778860).

Almost surely, 2^4291464672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4291464672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6986770560).

4291464672 is an abundant number, since it is smaller than the sum of its proper divisors (9682076448).

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

4291464672 is a wasteful number, since it uses less digits than its factorization.

4291464672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10574 (or 10560 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 4291464672 is about 65509.2716491338. The cubic root of 4291464672 is about 1625.0566824567.

The spelling of 4291464672 in words is "four billion, two hundred ninety-one million, four hundred sixty-four thousand, six hundred seventy-two".