6126912067600 has 135 divisors (see below), whose sum is σ = 15390588248119. Its totient is φ = 2343774188800.

The previous prime is 6126912067583. The next prime is 6126912067607. The reversal of 6126912067600 is 67602196216.

The square root of 6126912067600 is 2475260.

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

It can be written as a sum of positive squares in 4 ways, for example, as 607645194256 + 5519266873344 = 779516^2 + 2349312^2 .

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6126912067607) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1138616910 + ... + 1138622290.

Almost surely, 2^{6126912067600} is an apocalyptic number.

6126912067600 is the 2475260-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6126912067600

6126912067600 is an abundant number, since it is smaller than the sum of its proper divisors (9263676180519).

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

6126912067600 is an frugal number, since it uses more digits than its factorization.

6126912067600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10826 (or 5411 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 46.

The spelling of 6126912067600 in words is "six trillion, one hundred twenty-six billion, nine hundred twelve million, sixty-seven thousand, six hundred".