2176007710968 has 1440 divisors, whose sum is σ = 8064841973760. Its totient is φ = 545656849920.

The previous prime is 2176007710967. The next prime is 2176007711023. The reversal of 2176007710968 is 8690177006712.

2176007710968 is a `hidden beast` number, since 2 + 17 + 600 + 7 + 7 + 10 + 9 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2176007710963) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 17133918921 + ... + 17133919047.

It is an arithmetic number, because the mean of its divisors is an integer number (5600584704).

Almost surely, 2^{2176007710968} is an apocalyptic number.

2176007710968 is a gapful number since it is divisible by the number (28) 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 2176007710968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4032420986880).

2176007710968 is an abundant number, since it is smaller than the sum of its proper divisors (5888834262792).

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

2176007710968 is a wasteful number, since it uses less digits than its factorization.

2176007710968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 54.

The spelling of 2176007710968 in words is "two trillion, one hundred seventy-six billion, seven million, seven hundred ten thousand, nine hundred sixty-eight".