6166739157264 has 1215 divisors, whose sum is σ = 22394632181103. Its totient is φ = 1579135315968.

The previous prime is 6166739157233. The next prime is 6166739157277. The reversal of 6166739157264 is 4627519376616.

It is a happy number.

The square root of 6166739157264 is 2483292.

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

6166739157264 is a `hidden beast` number, since 61 + 6 + 67 + 391 + 5 + 72 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2868592590864 + 3298146566400 = 1693692^2 + 1816080^2 .

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

It is an unprimeable number.

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 242 ways as a sum of consecutive naturals, for example, 131207216089 + ... + 131207216135.

Almost surely, 2^{6166739157264} is an apocalyptic number.

6166739157264 is the 2483292-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6166739157264

6166739157264 is an abundant number, since it is smaller than the sum of its proper divisors (16227893023839).

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

6166739157264 is a wasteful number, since it uses less digits than its factorization.

6166739157264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 113 counting only the distinct ones).

The product of its digits is 68584320, while the sum is 63.

The spelling of 6166739157264 in words is "six trillion, one hundred sixty-six billion, seven hundred thirty-nine million, one hundred fifty-seven thousand, two hundred sixty-four".