2673763585920 has 512 divisors, whose sum is σ = 11005835904000. Its totient is φ = 600785952768.

The previous prime is 2673763585849. The next prime is 2673763585949. The reversal of 2673763585920 is 295853673762.

It is a happy number.

2673763585920 is a `hidden beast` number, since 2 + 6 + 7 + 3 + 7 + 6 + 35 + 8 + 592 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6949314 + ... + 7323966.

It is an arithmetic number, because the mean of its divisors is an integer number (21495773250).

Almost surely, 2^{2673763585920} is an apocalyptic number.

2673763585920 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 2673763585920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5502917952000).

2673763585920 is an abundant number, since it is smaller than the sum of its proper divisors (8332072318080).

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

2673763585920 is a wasteful number, since it uses less digits than its factorization.

2673763585920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374747 (or 374729 counting only the distinct ones).

The product of its (nonzero) digits is 114307200, while the sum is 63.

The spelling of 2673763585920 in words is "two trillion, six hundred seventy-three billion, seven hundred sixty-three million, five hundred eighty-five thousand, nine hundred twenty".