273468672000 has 576 divisors, whose sum is σ = 1037750313600. Its totient is φ = 69075763200.

The previous prime is 273468671999. The next prime is 273468672013. The reversal of 273468672000 is 276864372.

273468672000 is a `hidden beast` number, since 27 + 346 + 86 + 7 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×273468672000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43772877 + ... + 43779123.

It is an arithmetic number, because the mean of its divisors is an integer number (1801649850).

Almost surely, 2^273468672000 is an apocalyptic number.

273468672000 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 273468672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518875156800).

273468672000 is an abundant number, since it is smaller than the sum of its proper divisors (764281641600).

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

273468672000 is a wasteful number, since it uses less digits than its factorization.

273468672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6309 (or 6276 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 273468672000 in words is "two hundred seventy-three billion, four hundred sixty-eight million, six hundred seventy-two thousand".