273624401980800 has 3072 divisors, whose sum is σ = 1166076066355200. Its totient is φ = 62906322124800.

The previous prime is 273624401980799. The next prime is 273624401980817. The reversal of 273624401980800 is 8089104426372.

273624401980800 is a `hidden beast` number, since 2 + 7 + 3 + 6 + 2 + 440 + 198 + 0 + 8 + 0 + 0 = 666.

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 383 ways as a sum of consecutive naturals, for example, 89978427280 + ... + 89978430320.

It is an arithmetic number, because the mean of its divisors is an integer number (379582052850).

Almost surely, 2^{273624401980800} is an apocalyptic number.

273624401980800 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 273624401980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583038033177600).

273624401980800 is an abundant number, since it is smaller than the sum of its proper divisors (892451664374400).

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

273624401980800 is a wasteful number, since it uses less digits than its factorization.

273624401980800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3165 (or 3130 counting only the distinct ones).

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

The spelling of 273624401980800 in words is "two hundred seventy-three trillion, six hundred twenty-four billion, four hundred one million, nine hundred eighty thousand, eight hundred".