273672410806080 has 896 divisors, whose sum is σ = 1200961539509760. Its totient is φ = 57638940180480.

The previous prime is 273672410806019. The next prime is 273672410806189. The reversal of 273672410806080 is 80608014276372.

273672410806080 is a `hidden beast` number, since 2 + 7 + 3 + 6 + 7 + 24 + 1 + 0 + 8 + 0 + 608 + 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 127 ways as a sum of consecutive naturals, for example, 14489022 + ... + 27518658.

It is an arithmetic number, because the mean of its divisors is an integer number (1340358861060).

Almost surely, 2^{273672410806080} is an apocalyptic number.

273672410806080 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 273672410806080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600480769754880).

273672410806080 is an abundant number, since it is smaller than the sum of its proper divisors (927289128703680).

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

273672410806080 is a wasteful number, since it uses less digits than its factorization.

273672410806080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13029704 (or 13029688 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 273672410806080 in words is "two hundred seventy-three trillion, six hundred seventy-two billion, four hundred ten million, eight hundred six thousand, eighty".