273815428320 has 384 divisors, whose sum is σ = 1109135462400. Its totient is φ = 61793611776.

The previous prime is 273815428273. The next prime is 273815428333. The reversal of 273815428320 is 23824518372.

273815428320 is a `hidden beast` number, since 2 + 7 + 3 + 8 + 1 + 542 + 83 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2331652 + ... + 2446268.

It is an arithmetic number, because the mean of its divisors is an integer number (2888373600).

Almost surely, 2^273815428320 is an apocalyptic number.

273815428320 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 273815428320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554567731200).

273815428320 is an abundant number, since it is smaller than the sum of its proper divisors (835320034080).

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

273815428320 is a wasteful number, since it uses less digits than its factorization.

273815428320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114727 (or 114713 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 273815428320 in words is "two hundred seventy-three billion, eight hundred fifteen million, four hundred twenty-eight thousand, three hundred twenty".