4701840000 has 640 divisors, whose sum is σ = 18468838080. Its totient is φ = 1044480000.

The previous prime is 4701839983. The next prime is 4701840001. The reversal of 4701840000 is 481074.

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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4701840001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 34319932 + ... + 34320068.

Almost surely, 2^4701840000 is an apocalyptic number.

4701840000 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 4701840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9234419040).

4701840000 is an abundant number, since it is smaller than the sum of its proper divisors (13766998080).

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

4701840000 is a wasteful number, since it uses less digits than its factorization.

4701840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 4701840000 is about 68569.9642700797. The cubic root of 4701840000 is about 1675.2872456064.

The spelling of 4701840000 in words is "four billion, seven hundred one million, eight hundred forty thousand".