5262416640 has 864 divisors, whose sum is σ = 21814712640. Its totient is φ = 1196163072.

The previous prime is 5262416639. The next prime is 5262416641. The reversal of 5262416640 is 466142625.

5262416640 is a `hidden beast` number, since 5 + 2 + 6 + 2 + 4 + 1 + 6 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (5262416639) and next prime (5262416641).

It is a tau number, because it is divible by the number of its divisors (864).

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 = 5262416595 and 5262416604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5262416641) 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 95 ways as a sum of consecutive naturals, for example, 99290854 + ... + 99290906.

It is an arithmetic number, because the mean of its divisors is an integer number (25248510).

Almost surely, 2^5262416640 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 5262416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10907356320).

5262416640 is an abundant number, since it is smaller than the sum of its proper divisors (16552296000).

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

5262416640 is a wasteful number, since it uses less digits than its factorization.

5262416640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 5262416640 is about 72542.5160853964. The cubic root of 5262416640 is about 1739.3824205426.

The spelling of 5262416640 in words is "five billion, two hundred sixty-two million, four hundred sixteen thousand, six hundred forty".