4730288640 has 640 divisors, whose sum is σ = 19893012480. Its totient is φ = 928972800.

The previous prime is 4730288627. The next prime is 4730288653. The reversal of 4730288640 is 468820374.

It is an interprime number because it is at equal distance from previous prime (4730288627) and next prime (4730288653).

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 4730288592 and 4730288601.

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, 11235630 + ... + 11236050.

It is an arithmetic number, because the mean of its divisors is an integer number (31082832).

Almost surely, 2^4730288640 is an apocalyptic number.

4730288640 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 4730288640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9946506240).

4730288640 is an abundant number, since it is smaller than the sum of its proper divisors (15162723840).

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

4730288640 is a wasteful number, since it uses less digits than its factorization.

4730288640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 4730288640 is about 68777.0938612559. The cubic root of 4730288640 is about 1678.6592477351.

The spelling of 4730288640 in words is "four billion, seven hundred thirty million, two hundred eighty-eight thousand, six hundred forty".