404662272768 has 720 divisors, whose sum is σ = 1385499155040. Its totient is φ = 116371095552.

The previous prime is 404662272767. The next prime is 404662272779. The reversal of 404662272768 is 867272266404.

404662272768 is a `hidden beast` number, since 4 + 0 + 4 + 6 + 622 + 7 + 2 + 7 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (404662272761) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1040262718 + ... + 1040263106.

It is an arithmetic number, because the mean of its divisors is an integer number (1924304382).

Almost surely, 2^404662272768 is an apocalyptic number.

404662272768 is a gapful number since it is divisible by the number (48) 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 404662272768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692749577520).

404662272768 is an abundant number, since it is smaller than the sum of its proper divisors (980836882272).

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

404662272768 is a wasteful number, since it uses less digits than its factorization.

404662272768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 404662272768 in words is "four hundred four billion, six hundred sixty-two million, two hundred seventy-two thousand, seven hundred sixty-eight".