126773667007680 has 1792 divisors, whose sum is σ = 525786968752128. Its totient is φ = 25113065472000.

The previous prime is 126773667007667. The next prime is 126773667007853. The reversal of 126773667007680 is 86700766377621.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 46831792887 + ... + 46831795593.

Almost surely, 2^{126773667007680} is an apocalyptic number.

126773667007680 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 126773667007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262893484376064).

126773667007680 is an abundant number, since it is smaller than the sum of its proper divisors (399013301744448).

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

126773667007680 is a wasteful number, since it uses less digits than its factorization.

126773667007680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3074 (or 3064 counting only the distinct ones).

The product of its (nonzero) digits is 149361408, while the sum is 66.

The spelling of 126773667007680 in words is "one hundred twenty-six trillion, seven hundred seventy-three billion, six hundred sixty-seven million, seven thousand, six hundred eighty".