861963978014720 has 640 divisors, whose sum is σ = 2392594747171200. Its totient is φ = 292004089036800.

The previous prime is 861963978014683. The next prime is 861963978014731. The reversal of 861963978014720 is 27410879369168.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1229620510370 + ... + 1229620511070.

It is an arithmetic number, because the mean of its divisors is an integer number (3738429292455).

Almost surely, 2^{861963978014720} is an apocalyptic number.

861963978014720 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 861963978014720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1196297373585600).

861963978014720 is an abundant number, since it is smaller than the sum of its proper divisors (1530630769156480).

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

861963978014720 is an frugal number, since it uses more digits than its factorization.

861963978014720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1457 (or 1421 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 71.

The spelling of 861963978014720 in words is "eight hundred sixty-one trillion, nine hundred sixty-three billion, nine hundred seventy-eight million, fourteen thousand, seven hundred twenty".