864066813391620 has 192 divisors, whose sum is σ = 2733058910856960. Its totient is φ = 226585362161664.

The previous prime is 864066813391603. The next prime is 864066813391679. The reversal of 864066813391620 is 26193318660468.

864066813391620 is a `hidden beast` number, since 8 + 6 + 4 + 0 + 66 + 81 + 339 + 162 + 0 = 666.

It is a super-2 number, since 2×864066813391620² (a number of 31 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 180502 + ... + 41571218.

It is an arithmetic number, because the mean of its divisors is an integer number (14234681827380).

Almost surely, 2^{864066813391620} 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 864066813391620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1366529455428480).

864066813391620 is an abundant number, since it is smaller than the sum of its proper divisors (1868992097465340).

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

864066813391620 is a wasteful number, since it uses less digits than its factorization.

864066813391620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41391379 (or 41391371 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 864066813391620 in words is "eight hundred sixty-four trillion, sixty-six billion, eight hundred thirteen million, three hundred ninety-one thousand, six hundred twenty".