1290672347076 has 144 divisors (see below), whose sum is σ = 3773024236800. Its totient is φ = 364376365056.

The previous prime is 1290672347053. The next prime is 1290672347093. The reversal of 1290672347076 is 6707432760921.

1290672347076 is a `hidden beast` number, since 1 + 2 + 90 + 67 + 23 + 470 + 7 + 6 = 666.

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, 34946796 + ... + 34983708.

It is an arithmetic number, because the mean of its divisors is an integer number (26201557200).

Almost surely, 2^{1290672347076} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1290672347076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1886512118400).

1290672347076 is an abundant number, since it is smaller than the sum of its proper divisors (2482351889724).

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

1290672347076 is a wasteful number, since it uses less digits than its factorization.

1290672347076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38578 (or 38573 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The spelling of 1290672347076 in words is "one trillion, two hundred ninety billion, six hundred seventy-two million, three hundred forty-seven thousand, seventy-six".