2679712468992 has 624 divisors, whose sum is σ = 8837237136000. Its totient is φ = 775559577600.

The previous prime is 2679712468991. The next prime is 2679712468997. The reversal of 2679712468992 is 2998642179762.

2679712468992 is a `hidden beast` number, since 2 + 6 + 7 + 9 + 71 + 2 + 468 + 9 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

It is a super-2 number, since 2×2679712468992² (a number of 26 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2679712468992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2679712468991) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1374915634 + ... + 1374917582.

It is an arithmetic number, because the mean of its divisors is an integer number (14162239000).

Almost surely, 2^{2679712468992} 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 2679712468992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4418618568000).

2679712468992 is an abundant number, since it is smaller than the sum of its proper divisors (6157524667008).

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

2679712468992 is a wasteful number, since it uses less digits than its factorization.

2679712468992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2162 (or 2137 counting only the distinct ones).

The product of its digits is 329204736, while the sum is 72.

The spelling of 2679712468992 in words is "two trillion, six hundred seventy-nine billion, seven hundred twelve million, four hundred sixty-eight thousand, nine hundred ninety-two".