2673748380160 has 320 divisors, whose sum is σ = 7974533597184. Its totient is φ = 844686950400.

The previous prime is 2673748380137. The next prime is 2673748380167. The reversal of 2673748380160 is 610838473762.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (55).

It is not an unprimeable number, because it can be changed into a prime (2673748380167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6008545 + ... + 6438175.

Almost surely, 2^{2673748380160} is an apocalyptic number.

2673748380160 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 2673748380160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3987266798592).

2673748380160 is an abundant number, since it is smaller than the sum of its proper divisors (5300785217024).

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

2673748380160 is a wasteful number, since it uses less digits than its factorization.

2673748380160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429695 (or 429679 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 55.

The spelling of 2673748380160 in words is "two trillion, six hundred seventy-three billion, seven hundred forty-eight million, three hundred eighty thousand, one hundred sixty".