2167979561664 has 224 divisors, whose sum is σ = 6910745518080. Its totient is φ = 585957639168.

The previous prime is 2167979561647. The next prime is 2167979561707. The reversal of 2167979561664 is 4661659797612.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17378937 + ... + 17503239.

Almost surely, 2^{2167979561664} is an apocalyptic number.

2167979561664 is a gapful number since it is divisible by the number (24) 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 2167979561664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3455372759040).

2167979561664 is an abundant number, since it is smaller than the sum of its proper divisors (4742765956416).

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

2167979561664 is a wasteful number, since it uses less digits than its factorization.

2167979561664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125027 (or 125017 counting only the distinct ones).

The product of its digits is 205752960, while the sum is 69.

The spelling of 2167979561664 in words is "two trillion, one hundred sixty-seven billion, nine hundred seventy-nine million, five hundred sixty-one thousand, six hundred sixty-four".