5064759205632 has 1728 divisors, whose sum is σ = 19367544268800. Its totient is φ = 1264666411008.

The previous prime is 5064759205621. The next prime is 5064759205663. The reversal of 5064759205632 is 2365029574605.

It is a happy number.

5064759205632 is a `hidden beast` number, since 5 + 0 + 6 + 4 + 7 + 59 + 20 + 563 + 2 = 666.

It is a super-2 number, since 2×5064759205632² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11432864803 + ... + 11432865245.

It is an arithmetic number, because the mean of its divisors is an integer number (11208069600).

Almost surely, 2^{5064759205632} 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 5064759205632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9683772134400).

5064759205632 is an abundant number, since it is smaller than the sum of its proper divisors (14302785063168).

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

5064759205632 is a wasteful number, since it uses less digits than its factorization.

5064759205632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 54.

The spelling of 5064759205632 in words is "five trillion, sixty-four billion, seven hundred fifty-nine million, two hundred five thousand, six hundred thirty-two".