5305736576 has 64 divisors (see below), whose sum is σ = 12108199680. Its totient is φ = 2268584448.

The previous prime is 5305736563. The next prime is 5305736587. The reversal of 5305736576 is 6756375035.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×5305736576² = 56301681227808407552, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5305736576.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 390245 + ... + 403611.

It is an arithmetic number, because the mean of its divisors is an integer number (189190620).

Almost surely, 2^5305736576 is an apocalyptic number.

5305736576 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5305736576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6054099840).

5305736576 is an abundant number, since it is smaller than the sum of its proper divisors (6802463104).

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

5305736576 is a wasteful number, since it uses less digits than its factorization.

5305736576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13831 (or 13819 counting only the distinct ones).

The product of its (nonzero) digits is 1984500, while the sum is 47.

The square root of 5305736576 is about 72840.4872032031. The cubic root of 5305736576 is about 1744.1422182930.

The spelling of 5305736576 in words is "five billion, three hundred five million, seven hundred thirty-six thousand, five hundred seventy-six".