2661479479296 has 576 divisors, whose sum is σ = 8809231485600. Its totient is φ = 793165824000.

The previous prime is 2661479479271. The next prime is 2661479479333. The reversal of 2661479479296 is 6929749741662.

It is a happy number.

2661479479296 is a `hidden beast` number, since 2 + 6 + 6 + 147 + 9 + 479 + 2 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 408136516 + ... + 408143036.

Almost surely, 2^{2661479479296} 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 2661479479296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4404615742800).

2661479479296 is an abundant number, since it is smaller than the sum of its proper divisors (6147752006304).

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

2661479479296 is a wasteful number, since it uses less digits than its factorization.

2661479479296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6635 (or 6598 counting only the distinct ones).

The product of its digits is 493807104, while the sum is 72.

The spelling of 2661479479296 in words is "two trillion, six hundred sixty-one billion, four hundred seventy-nine million, four hundred seventy-nine thousand, two hundred ninety-six".