4738472760 has 256 divisors, whose sum is σ = 16855695360. Its totient is φ = 1042813440.

The previous prime is 4738472759. The next prime is 4738472771. The reversal of 4738472760 is 672748374.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7368999 + ... + 7369641.

It is an arithmetic number, because the mean of its divisors is an integer number (65842560).

Almost surely, 2^4738472760 is an apocalyptic number.

4738472760 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 4738472760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8427847680).

4738472760 is an abundant number, since it is smaller than the sum of its proper divisors (12117222600).

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

4738472760 is a wasteful number, since it uses less digits than its factorization.

4738472760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 48.

The square root of 4738472760 is about 68836.5655738286. The cubic root of 4738472760 is about 1679.6268020240.

The spelling of 4738472760 in words is "four billion, seven hundred thirty-eight million, four hundred seventy-two thousand, seven hundred sixty".