4870630240320 has 672 divisors, whose sum is σ = 17397024148224. Its totient is φ = 1153096089600.

The previous prime is 4870630240297. The next prime is 4870630240387. The reversal of 4870630240320 is 230420360784.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 472275484 + ... + 472285796.

It is an arithmetic number, because the mean of its divisors is an integer number (25888428792).

Almost surely, 2^{4870630240320} is an apocalyptic number.

4870630240320 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 4870630240320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8698512074112).

4870630240320 is an abundant number, since it is smaller than the sum of its proper divisors (12526393907904).

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

4870630240320 is a wasteful number, since it uses less digits than its factorization.

4870630240320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10471 (or 10448 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 39.

The spelling of 4870630240320 in words is "four trillion, eight hundred seventy billion, six hundred thirty million, two hundred forty thousand, three hundred twenty".