4679659215504 has 675 divisors, whose sum is σ = 16602726883977. Its totient is φ = 1229834721024.

The previous prime is 4679659215487. The next prime is 4679659215563. The reversal of 4679659215504 is 4055129569764.

The square root of 4679659215504 is 2163252.

It is a perfect power (a square), and thus also a powerful number.

4679659215504 is a `hidden beast` number, since 4 + 6 + 7 + 9 + 6 + 59 + 21 + 550 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 692257280400 + 3987401935104 = 832020^2 + 1996848^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 16535898147 + ... + 16535898429.

Almost surely, 2^{4679659215504} is an apocalyptic number.

4679659215504 is the 2163252-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4679659215504

4679659215504 is an abundant number, since it is smaller than the sum of its proper divisors (11923067668473).

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

4679659215504 is an equidigital number, since it uses as much as digits as its factorization.

4679659215504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 81648000, while the sum is 63.

The spelling of 4679659215504 in words is "four trillion, six hundred seventy-nine billion, six hundred fifty-nine million, two hundred fifteen thousand, five hundred four".