4632111264 has 96 divisors (see below), whose sum is σ = 13692672000. Its totient is φ = 1358380800.

The previous prime is 4632111241. The next prime is 4632111287. The reversal of 4632111264 is 4621112364.

It is an interprime number because it is at equal distance from previous prime (4632111241) and next prime (4632111287).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38014 + ... + 103485.

It is an arithmetic number, because the mean of its divisors is an integer number (142632000).

Almost surely, 2^4632111264 is an apocalyptic number.

4632111264 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4632111264 is an abundant number, since it is smaller than the sum of its proper divisors (9060560736).

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

4632111264 is a wasteful number, since it uses less digits than its factorization.

4632111264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141554 (or 141546 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 4632111264 is about 68059.6155146354. The cubic root of 4632111264 is about 1666.9644095974.

The spelling of 4632111264 in words is "four billion, six hundred thirty-two million, one hundred eleven thousand, two hundred sixty-four".