126691646400 has 756 divisors, whose sum is σ = 513471130536. Its totient is φ = 30701721600.

The previous prime is 126691646399. The next prime is 126691646407. The reversal of 126691646400 is 4646196621.

It is a happy number.

126691646400 is a `hidden beast` number, since 1 + 26 + 69 + 164 + 6 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126691646407) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 47043454 + ... + 47046146.

Almost surely, 2^126691646400 is an apocalyptic number.

126691646400 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 126691646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256735565268).

126691646400 is an abundant number, since it is smaller than the sum of its proper divisors (386779484136).

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

126691646400 is a wasteful number, since it uses less digits than its factorization.

126691646400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2752 (or 2714 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

It can be divided in two parts, 1266916 and 46400, that added together give a square (1313316 = 1146²).

The spelling of 126691646400 in words is "one hundred twenty-six billion, six hundred ninety-one million, six hundred forty-six thousand, four hundred".