868669401600 has 3840 divisors, whose sum is σ = 4473633669120. Its totient is φ = 161243136000.

The previous prime is 868669401499. The next prime is 868669401601. The reversal of 868669401600 is 6104966868.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-2 number, since 2×868669401600² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (868669401601) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 28021593585 + ... + 28021593615.

It is an arithmetic number, because the mean of its divisors is an integer number (1165008768).

Almost surely, 2^868669401600 is an apocalyptic number.

868669401600 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 868669401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2236816834560).

868669401600 is an abundant number, since it is smaller than the sum of its proper divisors (3604964267520).

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

868669401600 is a wasteful number, since it uses less digits than its factorization.

868669401600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 868669401600 in words is "eight hundred sixty-eight billion, six hundred sixty-nine million, four hundred one thousand, six hundred".