2672318638080 has 1728 divisors, whose sum is σ = 11611846471680. Its totient is φ = 556491866112.

The previous prime is 2672318638027. The next prime is 2672318638081. The reversal of 2672318638080 is 808368132762.

2672318638080 is a `hidden beast` number, since 2 + 6 + 7 + 2 + 3 + 186 + 380 + 80 = 666.

It is not an unprimeable number, because it can be changed into a prime (2672318638081) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13846210464 + ... + 13846210656.

It is an arithmetic number, because the mean of its divisors is an integer number (6719818560).

Almost surely, 2^{2672318638080} is an apocalyptic number.

2672318638080 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 2672318638080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5805923235840).

2672318638080 is an abundant number, since it is smaller than the sum of its proper divisors (8939527833600).

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

2672318638080 is a wasteful number, since it uses less digits than its factorization.

2672318638080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 2672318638080 in words is "two trillion, six hundred seventy-two billion, three hundred eighteen million, six hundred thirty-eight thousand, eighty".