2664171007680 has 896 divisors, whose sum is σ = 11012079697920. Its totient is φ = 529932533760.

The previous prime is 2664171007651. The next prime is 2664171007711. The reversal of 2664171007680 is 867001714662.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 350222437 + ... + 350230043.

It is an arithmetic number, because the mean of its divisors is an integer number (12290267520).

Almost surely, 2^{2664171007680} is an apocalyptic number.

2664171007680 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 2664171007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5506039848960).

2664171007680 is an abundant number, since it is smaller than the sum of its proper divisors (8347908690240).

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

2664171007680 is a wasteful number, since it uses less digits than its factorization.

2664171007680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7877 (or 7867 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 2664171007680 in words is "two trillion, six hundred sixty-four billion, one hundred seventy-one million, seven thousand, six hundred eighty".