4704317640 has 384 divisors, whose sum is σ = 17358606720. Its totient is φ = 1094860800.

The previous prime is 4704317633. The next prime is 4704317659. The reversal of 4704317640 is 467134074.

It is a happy number.

4704317640 is a `hidden beast` number, since 4 + 7 + 0 + 4 + 3 + 1 + 7 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4704317595 and 4704317604.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14212275 + ... + 14212605.

It is an arithmetic number, because the mean of its divisors is an integer number (45204705).

Almost surely, 2^4704317640 is an apocalyptic number.

4704317640 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 4704317640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8679303360).

4704317640 is an abundant number, since it is smaller than the sum of its proper divisors (12654289080).

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

4704317640 is a wasteful number, since it uses less digits than its factorization.

4704317640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 4704317640 is about 68588.0284014638. The cubic root of 4704317640 is about 1675.5814587813.

The spelling of 4704317640 in words is "four billion, seven hundred four million, three hundred seventeen thousand, six hundred forty".