126646572672 has 192 divisors, whose sum is σ = 395996640000. Its totient is φ = 38703329280.

The previous prime is 126646572649. The next prime is 126646572683. The reversal of 126646572672 is 276275646621.

126646572672 is a `hidden beast` number, since 1 + 2 + 6 + 6 + 4 + 6 + 572 + 67 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 585204 + ... + 771852.

It is an arithmetic number, because the mean of its divisors is an integer number (2062482500).

Almost surely, 2^126646572672 is an apocalyptic number.

126646572672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126646572672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197998320000).

126646572672 is an abundant number, since it is smaller than the sum of its proper divisors (269350067328).

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

126646572672 is a wasteful number, since it uses less digits than its factorization.

126646572672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186719 (or 186704 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 54.

The spelling of 126646572672 in words is "one hundred twenty-six billion, six hundred forty-six million, five hundred seventy-two thousand, six hundred seventy-two".