861929920368 has 400 divisors, whose sum is σ = 2834157173760. Its totient is φ = 250496064000.

The previous prime is 861929920363. The next prime is 861929920393. The reversal of 861929920368 is 863029929168.

861929920368 is a `hidden beast` number, since 8 + 619 + 2 + 9 + 9 + 2 + 0 + 3 + 6 + 8 = 666.

861929920368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (861929920363) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 62420121 + ... + 62433927.

Almost surely, 2^861929920368 is an apocalyptic number.

861929920368 is a gapful number since it is divisible by the number (88) 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 861929920368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1417078586880).

861929920368 is an abundant number, since it is smaller than the sum of its proper divisors (1972227253392).

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

861929920368 is a wasteful number, since it uses less digits than its factorization.

861929920368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14018 (or 14003 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 861929920368 in words is "eight hundred sixty-one billion, nine hundred twenty-nine million, nine hundred twenty thousand, three hundred sixty-eight".