4724120880 has 400 divisors, whose sum is σ = 17727526080. Its totient is φ = 1162377216.

The previous prime is 4724120867. The next prime is 4724120897. The reversal of 4724120880 is 880214274.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4321614 + ... + 4322706.

Almost surely, 2^4724120880 is an apocalyptic number.

4724120880 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 4724120880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8863763040).

4724120880 is an abundant number, since it is smaller than the sum of its proper divisors (13003405200).

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

4724120880 is a wasteful number, since it uses less digits than its factorization.

4724120880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 4724120880 is about 68732.2404698115. The cubic root of 4724120880 is about 1677.9293366329.

It can be divided in two parts, 47241 and 20880, that added together give a square (68121 = 261²).

The spelling of 4724120880 in words is "four billion, seven hundred twenty-four million, one hundred twenty thousand, eight hundred eighty".