2667165096960 has 1760 divisors, whose sum is σ = 12173835864960. Its totient is φ = 543114657792.

The previous prime is 2667165096943. The next prime is 2667165096971. The reversal of 2667165096960 is 696905617662.

2667165096960 is a `hidden beast` number, since 2 + 6 + 6 + 7 + 1 + 6 + 509 + 69 + 60 = 666.

It is a super-2 number, since 2×2667165096960² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1094444862 + ... + 1094447298.

It is an arithmetic number, because the mean of its divisors is an integer number (6916952196).

Almost surely, 2^{2667165096960} is an apocalyptic number.

2667165096960 is a gapful number since it is divisible by the number (20) 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 2667165096960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6086917932480).

2667165096960 is an abundant number, since it is smaller than the sum of its proper divisors (9506670768000).

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

2667165096960 is a wasteful number, since it uses less digits than its factorization.

2667165096960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2523 (or 2496 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 2667165096960 in words is "two trillion, six hundred sixty-seven billion, one hundred sixty-five million, ninety-six thousand, nine hundred sixty".