126789758640 has 240 divisors, whose sum is σ = 435699613440. Its totient is φ = 33031825920.

The previous prime is 126789758639. The next prime is 126789758671. The reversal of 126789758640 is 46857987621.

126789758640 is a `hidden beast` number, since 1 + 2 + 6 + 7 + 8 + 9 + 7 + 586 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6915085 + ... + 6933395.

It is an arithmetic number, because the mean of its divisors is an integer number (1815415056).

Almost surely, 2^126789758640 is an apocalyptic number.

126789758640 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 126789758640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217849806720).

126789758640 is an abundant number, since it is smaller than the sum of its proper divisors (308909854800).

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

126789758640 is a wasteful number, since it uses less digits than its factorization.

126789758640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18552 (or 18543 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 126789758640 in words is "one hundred twenty-six billion, seven hundred eighty-nine million, seven hundred fifty-eight thousand, six hundred forty".