4635704880 has 120 divisors (see below), whose sum is σ = 15581533968. Its totient is φ = 1235132928.

The previous prime is 4635704869. The next prime is 4635704929. The reversal of 4635704880 is 884075364.

4635704880 is a `hidden beast` number, since 4 + 635 + 7 + 0 + 4 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1217059 + ... + 1220861.

Almost surely, 2^4635704880 is an apocalyptic number.

4635704880 is a gapful number since it is divisible by the number (40) 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 4635704880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7790766984).

4635704880 is an abundant number, since it is smaller than the sum of its proper divisors (10945829088).

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

4635704880 is a wasteful number, since it uses less digits than its factorization.

4635704880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5515 (or 5506 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 4635704880 is about 68086.0108979811. The cubic root of 4635704880 is about 1667.3953780525.

The spelling of 4635704880 in words is "four billion, six hundred thirty-five million, seven hundred four thousand, eight hundred eighty".