4704637680 has 80 divisors (see below), whose sum is σ = 16204870560. Its totient is φ = 1254569472.

The previous prime is 4704637547. The next prime is 4704637699. The reversal of 4704637680 is 867364074.

4704637680 is a `hidden beast` number, since 4 + 7 + 0 + 4 + 637 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

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, 1086877 + ... + 1091196.

It is an arithmetic number, because the mean of its divisors is an integer number (202560882).

Almost surely, 2^4704637680 is an apocalyptic number.

4704637680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4704637680 is an abundant number, since it is smaller than the sum of its proper divisors (11500232880).

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

4704637680 is a wasteful number, since it uses less digits than its factorization.

4704637680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2178095 (or 2178083 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 4704637680 is about 68590.3614219957. The cubic root of 4704637680 is about 1675.6194551476.

The spelling of 4704637680 in words is "four billion, seven hundred four million, six hundred thirty-seven thousand, six hundred eighty".