4721416560 has 480 divisors, whose sum is σ = 19541606400. Its totient is φ = 1043642880.

The previous prime is 4721416523. The next prime is 4721416577. The reversal of 4721416560 is 656141274.

4721416560 is a `hidden beast` number, since 4 + 72 + 14 + 16 + 560 = 666.

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 95 ways as a sum of consecutive naturals, for example, 3280321 + ... + 3281759.

It is an arithmetic number, because the mean of its divisors is an integer number (40711680).

Almost surely, 2^4721416560 is an apocalyptic number.

4721416560 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 4721416560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9770803200).

4721416560 is an abundant number, since it is smaller than the sum of its proper divisors (14820189840).

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

4721416560 is a wasteful number, since it uses less digits than its factorization.

4721416560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 4721416560 is about 68712.5647898548. The cubic root of 4721416560 is about 1677.6090989906.

The spelling of 4721416560 in words is "four billion, seven hundred twenty-one million, four hundred sixteen thousand, five hundred sixty".