1631736126720 has 864 divisors, whose sum is σ = 6821590003200. Its totient is φ = 368216948736.

The previous prime is 1631736126673. The next prime is 1631736126721. The reversal of 1631736126720 is 276216371361.

1631736126720 is a `hidden beast` number, since 1 + 6 + 3 + 1 + 7 + 3 + 612 + 6 + 7 + 20 = 666.

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 not an unprimeable number, because it can be changed into a prime (1631736126721) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 133775662 + ... + 133787858.

It is an arithmetic number, because the mean of its divisors is an integer number (7895358800).

Almost surely, 2^{1631736126720} is an apocalyptic number.

1631736126720 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 1631736126720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3410795001600).

1631736126720 is an abundant number, since it is smaller than the sum of its proper divisors (5189853876480).

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

1631736126720 is a wasteful number, since it uses less digits than its factorization.

1631736126720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12320 (or 12293 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 1631736126720 in words is "one trillion, six hundred thirty-one billion, seven hundred thirty-six million, one hundred twenty-six thousand, seven hundred twenty".