273438094464 has 576 divisors, whose sum is σ = 913003509600. Its totient is φ = 81218764800.

The previous prime is 273438094409. The next prime is 273438094477. The reversal of 273438094464 is 464490834372.

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

It is a super-3 number, since 3×273438094464³ (a number of 35 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 273438094464.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 170791264 + ... + 170792864.

Almost surely, 2^273438094464 is an apocalyptic number.

273438094464 is a gapful number since it is divisible by the number (24) 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 273438094464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456501754800).

273438094464 is an abundant number, since it is smaller than the sum of its proper divisors (639565415136).

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

273438094464 is a wasteful number, since it uses less digits than its factorization.

273438094464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1683 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 273438094464 in words is "two hundred seventy-three billion, four hundred thirty-eight million, ninety-four thousand, four hundred sixty-four".