5105744640 has 648 divisors, whose sum is σ = 19996599168. Its totient is φ = 1197342720.

The previous prime is 5105744629. The next prime is 5105744701. The reversal of 5105744640 is 464475015.

5105744640 is a `hidden beast` number, since 5 + 1 + 0 + 5 + 7 + 4 + 4 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5105744595 and 5105744604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 164701425 + ... + 164701455.

Almost surely, 2^5105744640 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 5105744640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9998299584).

5105744640 is an abundant number, since it is smaller than the sum of its proper divisors (14890854528).

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

5105744640 is a wasteful number, since it uses less digits than its factorization.

5105744640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 5105744640 is about 71454.4934906126. The cubic root of 5105744640 is about 1721.9466692237.

The spelling of 5105744640 in words is "five billion, one hundred five million, seven hundred forty-four thousand, six hundred forty".