4971784320 has 256 divisors, whose sum is σ = 17735760000. Its totient is φ = 1316229120.

The previous prime is 4971784319. The next prime is 4971784333. The reversal of 4971784320 is 234871794.

4971784320 is a `hidden beast` number, since 49 + 7 + 178 + 432 + 0 = 666.

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 31 ways as a sum of consecutive naturals, for example, 2573755 + ... + 2575685.

Almost surely, 2^4971784320 is an apocalyptic number.

4971784320 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 4971784320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8867880000).

4971784320 is an abundant number, since it is smaller than the sum of its proper divisors (12763975680).

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

4971784320 is a wasteful number, since it uses less digits than its factorization.

4971784320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2108 (or 2090 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 4971784320 is about 70510.8808624598. The cubic root of 4971784320 is about 1706.7533348999.

The spelling of 4971784320 in words is "four billion, nine hundred seventy-one million, seven hundred eighty-four thousand, three hundred twenty".