4736010240 has 576 divisors, whose sum is σ = 18244699200. Its totient is φ = 1128923136.

The previous prime is 4736010221. The next prime is 4736010283. The reversal of 4736010240 is 420106374.

It is a tau number, because it is divible by the number of its divisors (576).

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, 70686687 + ... + 70686753.

It is an arithmetic number, because the mean of its divisors is an integer number (31674825).

Almost surely, 2^4736010240 is an apocalyptic number.

4736010240 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 4736010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9122349600).

4736010240 is an abundant number, since it is smaller than the sum of its proper divisors (13508688960).

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

4736010240 is a wasteful number, since it uses less digits than its factorization.

4736010240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 4736010240 is about 68818.6765347896. The cubic root of 4736010240 is about 1679.3357918537.

It can be divided in two parts, 47360 and 10240, that added together give a square (57600 = 240²).

The spelling of 4736010240 in words is "four billion, seven hundred thirty-six million, ten thousand, two hundred forty".