2672681356800 has 1920 divisors, whose sum is σ = 12786681600000. Its totient is φ = 530629263360.

The previous prime is 2672681356799. The next prime is 2672681356823. The reversal of 2672681356800 is 86531862762.

2672681356800 is a `hidden beast` number, since 2 + 6 + 7 + 2 + 68 + 13 + 568 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 534640701 + ... + 534645699.

It is an arithmetic number, because the mean of its divisors is an integer number (6659730000).

Almost surely, 2^{2672681356800} is an apocalyptic number.

2672681356800 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 2672681356800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6393340800000).

2672681356800 is an abundant number, since it is smaller than the sum of its proper divisors (10114000243200).

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

2672681356800 is a wasteful number, since it uses less digits than its factorization.

2672681356800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5073 (or 5046 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 2672681356800 in words is "two trillion, six hundred seventy-two billion, six hundred eighty-one million, three hundred fifty-six thousand, eight hundred".