3089961713664 has 864 divisors, whose sum is σ = 10815726579840. Its totient is φ = 869221269504.

The previous prime is 3089961713647. The next prime is 3089961713689. The reversal of 3089961713664 is 4663171699803.

3089961713664 is a `hidden beast` number, since 3 + 0 + 8 + 9 + 9 + 617 + 1 + 3 + 6 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17861050282 + ... + 17861050454.

It is an arithmetic number, because the mean of its divisors is an integer number (12518202060).

Almost surely, 2^{3089961713664} 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 3089961713664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5407863289920).

3089961713664 is an abundant number, since it is smaller than the sum of its proper divisors (7725764866176).

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

3089961713664 is an equidigital number, since it uses as much as digits as its factorization.

3089961713664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 3089961713664 in words is "three trillion, eighty-nine billion, nine hundred sixty-one million, seven hundred thirteen thousand, six hundred sixty-four".