867005678400 has 168 divisors, whose sum is σ = 2852430200640. Its totient is φ = 230557040640.

The previous prime is 867005678351. The next prime is 867005678419. The reversal of 867005678400 is 4876500768.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1471632 + ... + 1974768.

Almost surely, 2^867005678400 is an apocalyptic number.

867005678400 is a gapful number since it is divisible by the number (80) 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 867005678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1426215100320).

867005678400 is an abundant number, since it is smaller than the sum of its proper divisors (1985424522240).

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

867005678400 is a wasteful number, since it uses less digits than its factorization.

867005678400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503521 (or 503506 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 51.

The spelling of 867005678400 in words is "eight hundred sixty-seven billion, five million, six hundred seventy-eight thousand, four hundred".