817425411264 has 560 divisors, whose sum is σ = 3026822008320. Its totient is φ = 211910307840.

The previous prime is 817425411259. The next prime is 817425411281. The reversal of 817425411264 is 462114524718.

817425411264 is a `hidden beast` number, since 8 + 1 + 7 + 42 + 541 + 1 + 2 + 64 = 666.

817425411264 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 246284997 + ... + 246288315.

Almost surely, 2^817425411264 is an apocalyptic number.

817425411264 is a gapful number since it is divisible by the number (84) 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 817425411264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1513411004160).

817425411264 is an abundant number, since it is smaller than the sum of its proper divisors (2209396597056).

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

817425411264 is a wasteful number, since it uses less digits than its factorization.

817425411264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3978 (or 3959 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The spelling of 817425411264 in words is "eight hundred seventeen billion, four hundred twenty-five million, four hundred eleven thousand, two hundred sixty-four".