4738642560 has 640 divisors, whose sum is σ = 18927691200. Its totient is φ = 1122729984.

The previous prime is 4738642537. The next prime is 4738642591. The reversal of 4738642560 is 652468374.

4738642560 is a `hidden beast` number, since 4 + 7 + 3 + 86 + 4 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×4738642560² = 44909466622886707200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 16744179 + ... + 16744461.

Almost surely, 2^4738642560 is an apocalyptic number.

4738642560 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 4738642560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9463845600).

4738642560 is an abundant number, since it is smaller than the sum of its proper divisors (14189048640).

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

4738642560 is a wasteful number, since it uses less digits than its factorization.

4738642560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 4738642560 is about 68837.7989189079. The cubic root of 4738642560 is about 1679.6468645518.

The spelling of 4738642560 in words is "four billion, seven hundred thirty-eight million, six hundred forty-two thousand, five hundred sixty".