5013786240 has 384 divisors, whose sum is σ = 18315348480. Its totient is φ = 1261854720.

The previous prime is 5013786233. The next prime is 5013786247. The reversal of 5013786240 is 426873105.

5013786240 is a `hidden beast` number, since 501 + 37 + 86 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (5013786233) and next prime (5013786247).

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 5013786195 and 5013786204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5013786247) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 7677754 + ... + 7678406.

It is an arithmetic number, because the mean of its divisors is an integer number (47696220).

Almost surely, 2^5013786240 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 5013786240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9157674240).

5013786240 is an abundant number, since it is smaller than the sum of its proper divisors (13301562240).

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

5013786240 is a wasteful number, since it uses less digits than its factorization.

5013786240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 5013786240 is about 70808.0944525412. The cubic root of 5013786240 is about 1711.5461136994.

The spelling of 5013786240 in words is "five billion, thirteen million, seven hundred eighty-six thousand, two hundred forty".