3126764646756 has 135 divisors (see below), whose sum is σ = 8232726343611. Its totient is φ = 1034817555456.

The previous prime is 3126764646727. The next prime is 3126764646757. The reversal of 3126764646756 is 6576464676213.

The square root of 3126764646756 is 1768266.

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

3126764646756 is a `hidden beast` number, since 3 + 1 + 2 + 67 + 6 + 464 + 67 + 56 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14306552100 + 3112458094656 = 119610^2 + 1764216^2 .

It is a super-2 number, since 2×3126764646756² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3126764646693 and 3126764646702.

It is not an unprimeable number, because it can be changed into a prime (3126764646757) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6142955830 + ... + 6142956338.

Almost surely, 2^{3126764646756} is an apocalyptic number.

3126764646756 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3126764646756 is the 1768266-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3126764646756

3126764646756 is an abundant number, since it is smaller than the sum of its proper divisors (5105961696855).

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

3126764646756 is an frugal number, since it uses more digits than its factorization.

3126764646756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1420 (or 707 counting only the distinct ones).

The product of its digits is 182891520, while the sum is 63.

The spelling of 3126764646756 in words is "three trillion, one hundred twenty-six billion, seven hundred sixty-four million, six hundred forty-six thousand, seven hundred fifty-six".