126767946240 has 320 divisors, whose sum is σ = 484931462400. Its totient is φ = 31204196352.

The previous prime is 126767946203. The next prime is 126767946271. The reversal of 126767946240 is 42649767621.

126767946240 is a `hidden beast` number, since 1 + 2 + 6 + 7 + 6 + 7 + 9 + 4 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×126767946240² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 31 ways as a sum of consecutive naturals, for example, 828021 + ... + 969099.

It is an arithmetic number, because the mean of its divisors is an integer number (1515410820).

Almost surely, 2^126767946240 is an apocalyptic number.

126767946240 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 126767946240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242465731200).

126767946240 is an abundant number, since it is smaller than the sum of its proper divisors (358163516160).

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

126767946240 is a wasteful number, since it uses less digits than its factorization.

126767946240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141124 (or 141102 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 126767946240 in words is "one hundred twenty-six billion, seven hundred sixty-seven million, nine hundred forty-six thousand, two hundred forty".