126643940640 has 864 divisors, whose sum is σ = 541000736640. Its totient is φ = 27402375168.

The previous prime is 126643940627. The next prime is 126643940669. The reversal of 126643940640 is 46049346621.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 98249116 + ... + 98250404.

It is an arithmetic number, because the mean of its divisors is an integer number (626158260).

Almost surely, 2^126643940640 is an apocalyptic number.

126643940640 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 126643940640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270500368320).

126643940640 is an abundant number, since it is smaller than the sum of its proper divisors (414356796000).

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

126643940640 is a wasteful number, since it uses less digits than its factorization.

126643940640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 126643940640 in words is "one hundred twenty-six billion, six hundred forty-three million, nine hundred forty thousand, six hundred forty".