783267226560 has 1792 divisors, whose sum is σ = 3527096832000. Its totient is φ = 164602368000.

The previous prime is 783267226541. The next prime is 783267226591. The reversal of 783267226560 is 65622762387.

783267226560 is a `hidden beast` number, since 7 + 8 + 3 + 2 + 6 + 72 + 2 + 6 + 560 = 666.

It is a super-2 number, since 2×783267226560² (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 783267226497 and 783267226506.

It is a congruent number.

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, 3120586435 + ... + 3120586685.

It is an arithmetic number, because the mean of its divisors is an integer number (1968246000).

Almost surely, 2^783267226560 is an apocalyptic number.

783267226560 is a gapful number since it is divisible by the number (70) 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 783267226560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1763548416000).

783267226560 is an abundant number, since it is smaller than the sum of its proper divisors (2743829605440).

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

783267226560 is an equidigital number, since it uses as much as digits as its factorization.

783267226560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 783267226560 in words is "seven hundred eighty-three billion, two hundred sixty-seven million, two hundred twenty-six thousand, five hundred sixty".