126327678400 has 756 divisors, whose sum is σ = 407645231952. Its totient is φ = 37711872000.

The previous prime is 126327678391. The next prime is 126327678469. The reversal of 126327678400 is 4876723621.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1302347152 + ... + 1302347248.

Almost surely, 2^126327678400 is an apocalyptic number.

126327678400 is a gapful number since it is divisible by the number (10) 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 126327678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203822615976).

126327678400 is an abundant number, since it is smaller than the sum of its proper divisors (281317553552).

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

126327678400 is a wasteful number, since it uses less digits than its factorization.

126327678400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 46.

The spelling of 126327678400 in words is "one hundred twenty-six billion, three hundred twenty-seven million, six hundred seventy-eight thousand, four hundred".