6867596772100 has 81 divisors (see below), whose sum is σ = 15119634614133. Its totient is φ = 2707614252000.

The previous prime is 6867596772097. The next prime is 6867596772109. The reversal of 6867596772100 is 12776957686.

The square root of 6867596772100 is 2620610.

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

It can be written as a sum of positive squares in only one way, i.e., 2472334837956 + 4395261934144 = 1572366^2 + 2096488^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6867596772109) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1860631255 + ... + 1860634945.

Almost surely, 2^{6867596772100} is an apocalyptic number.

6867596772100 is the 2620610-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6867596772100

6867596772100 is an abundant number, since it is smaller than the sum of its proper divisors (8252037842033).

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

6867596772100 is an frugal number, since it uses more digits than its factorization.

6867596772100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7538 (or 3769 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 64.

Multiplying 6867596772100 by its sum of digits (64), we get a square (439526193414400 = 20964880²).

It can be divided in two parts, 6867596 and 772100, that added together give a square (7639696 = 2764²).

The spelling of 6867596772100 in words is "six trillion, eight hundred sixty-seven billion, five hundred ninety-six million, seven hundred seventy-two thousand, one hundred".