8049760584100 has 27 divisors (see below), whose sum is σ = 17468042035171. Its totient is φ = 3219892884800.

The previous prime is 8049760584067. The next prime is 8049760584119. The reversal of 8049760584100 is 14850679408.

The square root of 8049760584100 is 2837210.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 129408550756 + 7920352033344 = 359734^2 + 2814312^2 .

It is a super-2 number, since 2×8049760584100² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 28230240 + ... + 28513960.

Almost surely, 2^{8049760584100} is an apocalyptic number.

8049760584100 is the 2837210-th square number.

It is an amenable number.

8049760584100 is an abundant number, since it is smaller than the sum of its proper divisors (9418281451071).

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

8049760584100 is an frugal number, since it uses more digits than its factorization.

8049760584100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567456 (or 283728 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 52.

The spelling of 8049760584100 in words is "eight trillion, forty-nine billion, seven hundred sixty million, five hundred eighty-four thousand, one hundred".