867747293952 has 864 divisors, whose sum is σ = 3185421926400. Its totient is φ = 206580326400.

The previous prime is 867747293869. The next prime is 867747293957. The reversal of 867747293952 is 259392747768.

It is a super-2 number, since 2×867747293952² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (867747293957) 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, 243815949 + ... + 243819507.

Almost surely, 2^867747293952 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 867747293952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592710963200).

867747293952 is an abundant number, since it is smaller than the sum of its proper divisors (2317674632448).

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

867747293952 is a wasteful number, since it uses less digits than its factorization.

867747293952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3653 (or 3632 counting only the distinct ones).

The product of its digits is 320060160, while the sum is 69.

The spelling of 867747293952 in words is "eight hundred sixty-seven billion, seven hundred forty-seven million, two hundred ninety-three thousand, nine hundred fifty-two".