61680368079225 has 81 divisors (see below), whose sum is σ = 128515072846797. Its totient is φ = 28196362716480.

The previous prime is 61680368079193. The next prime is 61680368079233. The reversal of 61680368079225 is 52297086308616.

It is a happy number.

The square root of 61680368079225 is 7853685.

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

61680368079225 is a `hidden beast` number, since 6 + 168 + 0 + 368 + 0 + 7 + 92 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27778349447289 + 33902018631936 = 5270517^2 + 5822544^2 .

It is not a de Polignac number, because 61680368079225 - 2⁵ = 61680368079193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 824599527 + ... + 824674323.

Almost surely, 2^{61680368079225} is an apocalyptic number.

61680368079225 is the 7853685-th square number.

61680368079225 is the 3926843-rd centered octagonal number.

It is an amenable number.

61680368079225 is an abundant number, since it is smaller than the sum of its proper divisors (66834704767572).

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

61680368079225 is an frugal number, since it uses more digits than its factorization.

61680368079225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149624 (or 74812 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 61680368079225 in words is "sixty-one trillion, six hundred eighty billion, three hundred sixty-eight million, seventy-nine thousand, two hundred twenty-five".