826419065472 has 2304 divisors, whose sum is σ = 3539575603200. Its totient is φ = 186235822080.

The previous prime is 826419065443. The next prime is 826419065497. The reversal of 826419065472 is 274560914628.

826419065472 is a `hidden beast` number, since 8 + 2 + 6 + 4 + 1 + 90 + 6 + 547 + 2 = 666.

It is a super-2 number, since 2×826419065472² (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 an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6507236673 + ... + 6507236799.

Almost surely, 2^826419065472 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 826419065472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1769787801600).

826419065472 is an abundant number, since it is smaller than the sum of its proper divisors (2713156537728).

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

826419065472 is a wasteful number, since it uses less digits than its factorization.

826419065472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 826419065472 in words is "eight hundred twenty-six billion, four hundred nineteen million, sixty-five thousand, four hundred seventy-two".