5006783880 has 512 divisors, whose sum is σ = 20248704000. Its totient is φ = 1076060160.

The previous prime is 5006783861. The next prime is 5006783891. The reversal of 5006783880 is 883876005.

5006783880 is a `hidden beast` number, since 500 + 67 + 8 + 3 + 8 + 80 = 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 127 ways as a sum of consecutive naturals, for example, 8988562 + ... + 8989118.

It is an arithmetic number, because the mean of its divisors is an integer number (39548250).

Almost surely, 2^5006783880 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 5006783880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10124352000).

5006783880 is an abundant number, since it is smaller than the sum of its proper divisors (15241920120).

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

5006783880 is a wasteful number, since it uses less digits than its factorization.

5006783880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 5006783880 is about 70758.6311343005. The cubic root of 5006783880 is about 1710.7489486269.

The spelling of 5006783880 in words is "five billion, six million, seven hundred eighty-three thousand, eight hundred eighty".