2672743920000 has 640 divisors, whose sum is σ = 11060654457600. Its totient is φ = 555371520000.

The previous prime is 2672743919987. The next prime is 2672743920043. The reversal of 2672743920000 is 293472762.

2672743920000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18407686 + ... + 18552314.

It is an arithmetic number, because the mean of its divisors is an integer number (17282272590).

Almost surely, 2^{2672743920000} is an apocalyptic number.

2672743920000 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 2672743920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5530327228800).

2672743920000 is an abundant number, since it is smaller than the sum of its proper divisors (8387910537600).

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

2672743920000 is a wasteful number, since it uses less digits than its factorization.

2672743920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144684 (or 144657 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The spelling of 2672743920000 in words is "two trillion, six hundred seventy-two billion, seven hundred forty-three million, nine hundred twenty thousand".