273903293664 has 1296 divisors, whose sum is σ = 1114710118704. Its totient is φ = 65527418880.

The previous prime is 273903293623. The next prime is 273903293681. The reversal of 273903293664 is 466392309372.

273903293664 is a `hidden beast` number, since 273 + 9 + 0 + 3 + 2 + 9 + 366 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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 273903293664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 599350524 + ... + 599350980.

Almost surely, 2^273903293664 is an apocalyptic number.

273903293664 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 273903293664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557355059352).

273903293664 is an abundant number, since it is smaller than the sum of its proper divisors (840806825040).

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

273903293664 is a wasteful number, since it uses less digits than its factorization.

273903293664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 54.

The spelling of 273903293664 in words is "two hundred seventy-three billion, nine hundred three million, two hundred ninety-three thousand, six hundred sixty-four".