861969235968 has 540 divisors, whose sum is σ = 2683463950440. Its totient is φ = 266531241984.

The previous prime is 861969235961. The next prime is 861969235979. The reversal of 861969235968 is 869532969168.

861969235968 is a `hidden beast` number, since 8 + 6 + 1 + 9 + 6 + 9 + 23 + 596 + 8 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (302330880) is a multiple of the sum of its prime factors (360).

It is a junction number, because it is equal to n+sod(n) for n = 861969235896 and 861969235905.

It is not an unprimeable number, because it can be changed into a prime (861969235961) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4815470503 + ... + 4815470681.

It is an arithmetic number, because the mean of its divisors is an integer number (4969377686).

Almost surely, 2^861969235968 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 861969235968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341731975220).

861969235968 is an abundant number, since it is smaller than the sum of its proper divisors (1821494714472).

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

861969235968 is a wasteful number, since it uses less digits than its factorization.

861969235968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 314 counting only the distinct ones).

The product of its digits is 302330880, while the sum is 72.

The spelling of 861969235968 in words is "eight hundred sixty-one billion, nine hundred sixty-nine million, two hundred thirty-five thousand, nine hundred sixty-eight".