8046990772128 has 2880 divisors, whose sum is σ = 33222131712000. Its totient is φ = 1901157350400.

The previous prime is 8046990772123. The next prime is 8046990772141. The reversal of 8046990772128 is 8212770996408.

8046990772128 is a `hidden beast` number, since 8 + 0 + 469 + 90 + 7 + 72 + 12 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (8046990772123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 63362132001 + ... + 63362132127.

It is an arithmetic number, because the mean of its divisors is an integer number (11535462400).

Almost surely, 2^{8046990772128} is an apocalyptic number.

8046990772128 is a gapful number since it is divisible by the number (88) 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 8046990772128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16611065856000).

8046990772128 is an abundant number, since it is smaller than the sum of its proper divisors (25175140939872).

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

8046990772128 is a wasteful number, since it uses less digits than its factorization.

8046990772128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 8046990772128 in words is "eight trillion, forty-six billion, nine hundred ninety million, seven hundred seventy-two thousand, one hundred twenty-eight".