7722674260900 has 27 divisors (see below), whose sum is σ = 16758263450019. Its totient is φ = 3089058588480.

The previous prime is 7722674260871. The next prime is 7722674260907. The reversal of 7722674260900 is 90624762277.

The square root of 7722674260900 is 2778970.

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 900360036 + 7721773900864 = 30006^2 + 2778808^2 .

It is a super-2 number, since 2×7722674260900² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7722674260907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 27650752 + ... + 27928648.

Almost surely, 2^{7722674260900} is an apocalyptic number.

7722674260900 is the 2778970-th square number.

It is an amenable number.

7722674260900 is an abundant number, since it is smaller than the sum of its proper divisors (9035589189119).

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

7722674260900 is an frugal number, since it uses more digits than its factorization.

7722674260900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555808 (or 277904 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 52.

The spelling of 7722674260900 in words is "seven trillion, seven hundred twenty-two billion, six hundred seventy-four million, two hundred sixty thousand, nine hundred".