867296613456 has 240 divisors, whose sum is σ = 3005039331840. Its totient is φ = 228736984320.

The previous prime is 867296613437. The next prime is 867296613479. The reversal of 867296613456 is 654316692768.

867296613456 is a `hidden beast` number, since 8 + 6 + 7 + 2 + 9 + 6 + 613 + 4 + 5 + 6 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 867296613393 and 867296613402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2018761 + ... + 2410391.

It is an arithmetic number, because the mean of its divisors is an integer number (12520997216).

Almost surely, 2^867296613456 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 867296613456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502519665920).

867296613456 is an abundant number, since it is smaller than the sum of its proper divisors (2137742718384).

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

867296613456 is a wasteful number, since it uses less digits than its factorization.

867296613456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391691 (or 391656 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 63.

The spelling of 867296613456 in words is "eight hundred sixty-seven billion, two hundred ninety-six million, six hundred thirteen thousand, four hundred fifty-six".