6700777479396 has 729 divisors, whose sum is σ = 23506194651849. Its totient is φ = 1602852451200.

The previous prime is 6700777479391. The next prime is 6700777479401. The reversal of 6700777479396 is 6939747770076.

The square root of 6700777479396 is 2588586.

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

6700777479396 is a `hidden beast` number, since 67 + 0 + 0 + 7 + 7 + 7 + 479 + 3 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (6700777479391) and next prime (6700777479401).

It can be written as a sum of positive squares in only one way, i.e., 991239272100 + 5709538207296 = 995610^2 + 2389464^2 .

It is a super-2 number, since 2×6700777479396² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6700777479391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 15547047301 + ... + 15547047731.

Almost surely, 2^{6700777479396} is an apocalyptic number.

6700777479396 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

6700777479396 is the 2588586-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6700777479396

6700777479396 is an abundant number, since it is smaller than the sum of its proper divisors (16805417172453).

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

6700777479396 is a wasteful number, since it uses less digits than its factorization.

6700777479396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 588110544, while the sum is 72.

The spelling of 6700777479396 in words is "six trillion, seven hundred billion, seven hundred seventy-seven million, four hundred seventy-nine thousand, three hundred ninety-six".