7497766622025 has 81 divisors (see below), whose sum is σ = 13947200284693. Its totient is φ = 3998217412800.

The previous prime is 7497766622023. The next prime is 7497766622029. The reversal of 7497766622025 is 5202266677947.

The square root of 7497766622025 is 2738205.

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 232822655289 + 7264943966736 = 482517^2 + 2695356^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 7497766622025 - 2¹ = 7497766622023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7497766622023) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1108969645 + ... + 1108976405.

Almost surely, 2^{7497766622025} is an apocalyptic number.

7497766622025 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

7497766622025 is the 2738205-th square number.

7497766622025 is the 1369103-rd centered octagonal number.

It is an amenable number.

7497766622025 is a deficient number, since it is larger than the sum of its proper divisors (6449433662668).

7497766622025 is an frugal number, since it uses more digits than its factorization.

7497766622025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13556 (or 6769 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 63.

The spelling of 7497766622025 in words is "seven trillion, four hundred ninety-seven billion, seven hundred sixty-six million, six hundred twenty-two thousand, twenty-five".