126674676817920 has 2016 divisors, whose sum is σ = 575888348246400. Its totient is φ = 26320648273920.

The previous prime is 126674676817903. The next prime is 126674676817951. The reversal of 126674676817920 is 29718676476621.

126674676817920 is a `hidden beast` number, since 1 + 2 + 6 + 6 + 7 + 467 + 68 + 17 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6556990021 + ... + 6557009339.

It is an arithmetic number, because the mean of its divisors is an integer number (285658902900).

Almost surely, 2^{126674676817920} is an apocalyptic number.

126674676817920 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 126674676817920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287944174123200).

126674676817920 is an abundant number, since it is smaller than the sum of its proper divisors (449213671428480).

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

126674676817920 is a wasteful number, since it uses less digits than its factorization.

126674676817920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19395 (or 19347 counting only the distinct ones).

The product of its (nonzero) digits is 512096256, while the sum is 72.

The spelling of 126674676817920 in words is "one hundred twenty-six trillion, six hundred seventy-four billion, six hundred seventy-six million, eight hundred seventeen thousand, nine hundred twenty".