867201140736 has 1152 divisors, whose sum is σ = 3222695548800. Its totient is φ = 228898897920.

The previous prime is 867201140731. The next prime is 867201140737. The reversal of 867201140736 is 637041102768.

867201140736 is a `hidden beast` number, since 8 + 6 + 7 + 201 + 1 + 407 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 867201140691 and 867201140700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (867201140731) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3086124916 + ... + 3086125196.

It is an arithmetic number, because the mean of its divisors is an integer number (2797478775).

Almost surely, 2^867201140736 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 867201140736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611347774400).

867201140736 is an abundant number, since it is smaller than the sum of its proper divisors (2355494408064).

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

867201140736 is a wasteful number, since it uses less digits than its factorization.

867201140736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 867201140736 in words is "eight hundred sixty-seven billion, two hundred one million, one hundred forty thousand, seven hundred thirty-six".