4979729664 has 810 divisors, whose sum is σ = 19348774830. Its totient is φ = 1268047872.

The previous prime is 4979729659. The next prime is 4979729683. The reversal of 4979729664 is 4669279794.

It can be written as a sum of positive squares in 3 ways, for example, as 1016064 + 4978713600 = 1008^2 + 70560^2 .

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (41150592) is a multiple of the sum of its prime divisors (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 171714802 + ... + 171714830.

Almost surely, 2^4979729664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4979729664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9674387415).

4979729664 is an abundant number, since it is smaller than the sum of its proper divisors (14369045166).

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

4979729664 is a wasteful number, since it uses less digits than its factorization.

4979729664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 54 counting only the distinct ones).

The product of its digits is 41150592, while the sum is 63.

The square root of 4979729664 is about 70567.1996326905. The cubic root of 4979729664 is about 1707.6620311315.

The spelling of 4979729664 in words is "four billion, nine hundred seventy-nine million, seven hundred twenty-nine thousand, six hundred sixty-four".