2667346968960 has 256 divisors, whose sum is σ = 10002552235200. Its totient is φ = 669451714560.

The previous prime is 2667346968917. The next prime is 2667346968971. The reversal of 2667346968960 is 698696437662.

2667346968960 is a `hidden beast` number, since 2 + 6 + 6 + 73 + 469 + 6 + 8 + 96 + 0 = 666.

It is a super-2 number, since 2×2667346968960² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 4246251 + ... + 4833770.

Almost surely, 2^{2667346968960} is an apocalyptic number.

2667346968960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2667346968960 is an abundant number, since it is smaller than the sum of its proper divisors (7335205266240).

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

2667346968960 is a wasteful number, since it uses less digits than its factorization.

2667346968960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9080066 (or 9080048 counting only the distinct ones).

The product of its (nonzero) digits is 846526464, while the sum is 72.

The spelling of 2667346968960 in words is "two trillion, six hundred sixty-seven billion, three hundred forty-six million, nine hundred sixty-eight thousand, nine hundred sixty".