5084576640 has 384 divisors, whose sum is σ = 20630544480. Its totient is φ = 1137623040.

The previous prime is 5084576639. The next prime is 5084576647. The reversal of 5084576640 is 466754805.

5084576640 is a `hidden beast` number, since 508 + 45 + 7 + 66 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5084576647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 820594 + ... + 826766.

Almost surely, 2^5084576640 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 5084576640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10315272240).

5084576640 is an abundant number, since it is smaller than the sum of its proper divisors (15545967840).

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

5084576640 is a wasteful number, since it uses less digits than its factorization.

5084576640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6222 (or 6207 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 5084576640 is about 71306.2174007288. The cubic root of 5084576640 is about 1719.5636895834.

The spelling of 5084576640 in words is "five billion, eighty-four million, five hundred seventy-six thousand, six hundred forty".