4632463264 has 96 divisors (see below), whose sum is σ = 11278733760. Its totient is φ = 1841356800.

The previous prime is 4632463259. The next prime is 4632463291. The reversal of 4632463264 is 4623642364.

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, 60304 + ... + 113584.

It is an arithmetic number, because the mean of its divisors is an integer number (117486810).

Almost surely, 2^4632463264 is an apocalyptic number.

4632463264 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 4632463264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5639366880).

4632463264 is an abundant number, since it is smaller than the sum of its proper divisors (6646270496).

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

4632463264 is a wasteful number, since it uses less digits than its factorization.

4632463264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53334 (or 53326 counting only the distinct ones).

The product of its digits is 497664, while the sum is 40.

The square root of 4632463264 is about 68062.2014336886. The cubic root of 4632463264 is about 1667.0066334400.

Subtracting from 4632463264 its reverse (4623642364), we obtain a square (8820900 = 2970²).

The spelling of 4632463264 in words is "four billion, six hundred thirty-two million, four hundred sixty-three thousand, two hundred sixty-four".