5284713840 has 640 divisors, whose sum is σ = 21063794688. Its totient is φ = 1068318720.

The previous prime is 5284713829. The next prime is 5284713853. The reversal of 5284713840 is 483174825.

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 = 5284713792 and 5284713801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 41611857 + ... + 41611983.

Almost surely, 2^5284713840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5284713840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10531897344).

5284713840 is an abundant number, since it is smaller than the sum of its proper divisors (15779080848).

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

5284713840 is a wasteful number, since it uses less digits than its factorization.

5284713840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 5284713840 is about 72696.0373060320. The cubic root of 5284713840 is about 1741.8355843687.

The spelling of 5284713840 in words is "five billion, two hundred eighty-four million, seven hundred thirteen thousand, eight hundred forty".