863201009664 has 504 divisors, whose sum is σ = 2948952385548. Its totient is φ = 242523832320.

The previous prime is 863201009599. The next prime is 863201009687. The reversal of 863201009664 is 466900102368.

863201009664 is a `hidden beast` number, since 8 + 632 + 0 + 1 + 0 + 0 + 9 + 6 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 847578009600 + 15623000064 = 920640^2 + 124992^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 220371034 + ... + 220374950.

Almost surely, 2^863201009664 is an apocalyptic number.

863201009664 is a gapful number since it is divisible by the number (84) 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 863201009664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474476192774).

863201009664 is an abundant number, since it is smaller than the sum of its proper divisors (2085751375884).

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

863201009664 is a wasteful number, since it uses less digits than its factorization.

863201009664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4024 (or 3990 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 863201009664 in words is "eight hundred sixty-three billion, two hundred one million, nine thousand, six hundred sixty-four".