2673397270656 has 640 divisors, whose sum is σ = 9357032995200. Its totient is φ = 741694537728.

The previous prime is 2673397270631. The next prime is 2673397270679. The reversal of 2673397270656 is 6560727933762.

2673397270656 is a `hidden beast` number, since 26 + 7 + 339 + 7 + 270 + 6 + 5 + 6 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2673397270593 and 2673397270602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2623549315 + ... + 2623550333.

It is an arithmetic number, because the mean of its divisors is an integer number (14620364055).

Almost surely, 2^{2673397270656} 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 2673397270656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4678516497600).

2673397270656 is an abundant number, since it is smaller than the sum of its proper divisors (6683635724544).

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

2673397270656 is a wasteful number, since it uses less digits than its factorization.

2673397270656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2066 (or 2045 counting only the distinct ones).

The product of its (nonzero) digits is 120022560, while the sum is 63.

The spelling of 2673397270656 in words is "two trillion, six hundred seventy-three billion, three hundred ninety-seven million, two hundred seventy thousand, six hundred fifty-six".