2893076725968 has 720 divisors, whose sum is σ = 9964165585920. Its totient is φ = 777706997760.

The previous prime is 2893076725927. The next prime is 2893076725969. The reversal of 2893076725968 is 8695276703982.

2893076725968 is a `hidden beast` number, since 2 + 8 + 9 + 307 + 6 + 7 + 259 + 68 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2893076725896 and 2893076725905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2893076725969) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 695616273 + ... + 695620431.

Almost surely, 2^{2893076725968} 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 2893076725968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4982082792960).

2893076725968 is an abundant number, since it is smaller than the sum of its proper divisors (7071088859952).

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

2893076725968 is a wasteful number, since it uses less digits than its factorization.

2893076725968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4328 (or 4308 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 2893076725968 in words is "two trillion, eight hundred ninety-three billion, seventy-six million, seven hundred twenty-five thousand, nine hundred sixty-eight".