4864747440 has 240 divisors, whose sum is σ = 17648513280. Its totient is φ = 1105251840.

The previous prime is 4864747409. The next prime is 4864747463. The reversal of 4864747440 is 447474684.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4864747440.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2103885 + ... + 2106195.

It is an arithmetic number, because the mean of its divisors is an integer number (73535472).

Almost surely, 2^4864747440 is an apocalyptic number.

4864747440 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 4864747440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8824256640).

4864747440 is an abundant number, since it is smaller than the sum of its proper divisors (12783765840).

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

4864747440 is a wasteful number, since it uses less digits than its factorization.

4864747440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2520 (or 2507 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 48.

The square root of 4864747440 is about 69747.7414688103. The cubic root of 4864747440 is about 1694.4162171949.

The spelling of 4864747440 in words is "four billion, eight hundred sixty-four million, seven hundred forty-seven thousand, four hundred forty".