273996103680 has 720 divisors, whose sum is σ = 1056318953760. Its totient is φ = 67353182208.

The previous prime is 273996103627. The next prime is 273996103681. The reversal of 273996103680 is 86301699372.

273996103680 is a `hidden beast` number, since 273 + 9 + 9 + 6 + 1 + 0 + 368 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is not an unprimeable number, because it can be changed into a prime (273996103681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 373800594 + ... + 373801326.

It is an arithmetic number, because the mean of its divisors is an integer number (1467109658).

Almost surely, 2^273996103680 is an apocalyptic number.

273996103680 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 273996103680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528159476880).

273996103680 is an abundant number, since it is smaller than the sum of its proper divisors (782322850080).

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

273996103680 is an equidigital number, since it uses as much as digits as its factorization.

273996103680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 273996103680 in words is "two hundred seventy-three billion, nine hundred ninety-six million, one hundred three thousand, six hundred eighty".