2167716366640 has 160 divisors (see below), whose sum is σ = 5738836262400. Its totient is φ = 753768744960.

The previous prime is 2167716366637. The next prime is 2167716366707. The reversal of 2167716366640 is 466636177612.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79509331 + ... + 79536589.

It is an arithmetic number, because the mean of its divisors is an integer number (35867726640).

Almost surely, 2^{2167716366640} is an apocalyptic number.

2167716366640 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 2167716366640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2869418131200).

2167716366640 is an abundant number, since it is smaller than the sum of its proper divisors (3571119895760).

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

2167716366640 is a wasteful number, since it uses less digits than its factorization.

2167716366640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31235 (or 31229 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 55.

The spelling of 2167716366640 in words is "two trillion, one hundred sixty-seven billion, seven hundred sixteen million, three hundred sixty-six thousand, six hundred forty".