4968529920 has 360 divisors, whose sum is σ = 18033908256. Its totient is φ = 1263009792.

The previous prime is 4968529877. The next prime is 4968529933. The reversal of 4968529920 is 299258694.

It is a happy number.

4968529920 is a `hidden beast` number, since 4 + 96 + 8 + 529 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

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, 16957294 + ... + 16957586.

Almost surely, 2^4968529920 is an apocalyptic number.

4968529920 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 4968529920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9016954128).

4968529920 is an abundant number, since it is smaller than the sum of its proper divisors (13065378336).

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

4968529920 is a wasteful number, since it uses less digits than its factorization.

4968529920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 4968529920 is about 70487.7997954256. The cubic root of 4968529920 is about 1706.3808549162.

The spelling of 4968529920 in words is "four billion, nine hundred sixty-eight million, five hundred twenty-nine thousand, nine hundred twenty".