867869516640 has 192 divisors, whose sum is σ = 3130111918080. Its totient is φ = 198003087360.

The previous prime is 867869516627. The next prime is 867869516641. The reversal of 867869516640 is 46615968768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (867869516641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1579041 + ... + 2056479.

It is an arithmetic number, because the mean of its divisors is an integer number (16302666240).

Almost surely, 2^867869516640 is an apocalyptic number.

867869516640 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 867869516640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565055959040).

867869516640 is an abundant number, since it is smaller than the sum of its proper divisors (2262242401440).

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

867869516640 is a wasteful number, since it uses less digits than its factorization.

867869516640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478005 (or 477997 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 66.

The spelling of 867869516640 in words is "eight hundred sixty-seven billion, eight hundred sixty-nine million, five hundred sixteen thousand, six hundred forty".