4264801632 has 672 divisors, whose sum is σ = 16195636800. Its totient is φ = 1097349120.

The previous prime is 4264801627. The next prime is 4264801687. The reversal of 4264801632 is 2361084624.

4264801632 is a `hidden beast` number, since 4 + 2 + 648 + 0 + 1 + 6 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 104019532 + ... + 104019572.

It is an arithmetic number, because the mean of its divisors is an integer number (24100650).

Almost surely, 2^4264801632 is an apocalyptic number.

4264801632 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 4264801632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8097818400).

4264801632 is an abundant number, since it is smaller than the sum of its proper divisors (11930835168).

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

4264801632 is an equidigital number, since it uses as much as digits as its factorization.

4264801632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 4264801632 is about 65305.4487160145. The cubic root of 4264801632 is about 1621.6841744281.

The spelling of 4264801632 in words is "four billion, two hundred sixty-four million, eight hundred one thousand, six hundred thirty-two".