4726202880 has 480 divisors, whose sum is σ = 18528903360. Its totient is φ = 1021870080.

The previous prime is 4726202857. The next prime is 4726202893. The reversal of 4726202880 is 882026274.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7149750 + ... + 7150410.

It is an arithmetic number, because the mean of its divisors is an integer number (38601882).

Almost surely, 2^4726202880 is an apocalyptic number.

4726202880 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 4726202880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9264451680).

4726202880 is an abundant number, since it is smaller than the sum of its proper divisors (13802700480).

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

4726202880 is a wasteful number, since it uses less digits than its factorization.

4726202880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 4726202880 is about 68747.3845320678. The cubic root of 4726202880 is about 1678.1757977126.

The spelling of 4726202880 in words is "four billion, seven hundred twenty-six million, two hundred two thousand, eight hundred eighty".