67662222747025 has 243 divisors, whose sum is σ = 95658942641587. Its totient is φ = 47464292019200.

The previous prime is 67662222747001. The next prime is 67662222747029. The reversal of 67662222747025 is 52074722226676.

The square root of 67662222747025 is 8225705.

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

It can be written as a sum of positive squares in 13 ways, for example, as 22044518035281 + 45617704711744 = 4695159^2 + 6754088^2 .

It is not a de Polignac number, because 67662222747025 - 2⁷ = 67662222746897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (67662222747029) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 952989052740 + ... + 952989052810.

Almost surely, 2^{67662222747025} is an apocalyptic number.

67662222747025 is the 8225705-th square number.

67662222747025 is the 4112853-rd centered octagonal number.

It is an amenable number.

67662222747025 is a deficient number, since it is larger than the sum of its proper divisors (27996719894562).

67662222747025 is an equidigital number, since it uses as much as digits as its factorization.

67662222747025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 58.

The spelling of 67662222747025 in words is "sixty-seven trillion, six hundred sixty-two billion, two hundred twenty-two million, seven hundred forty-seven thousand, twenty-five".