5676185272320 has 960 divisors, whose sum is σ = 21933862809600. Its totient is φ = 1387407605760.

The previous prime is 5676185272313. The next prime is 5676185272367. The reversal of 5676185272320 is 232725816765.

5676185272320 is a `hidden beast` number, since 5 + 6 + 76 + 1 + 8 + 527 + 23 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1302771582 + ... + 1302775938.

It is an arithmetic number, because the mean of its divisors is an integer number (22847773760).

Almost surely, 2^{5676185272320} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5676185272320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10966931404800).

5676185272320 is an abundant number, since it is smaller than the sum of its proper divisors (16257677537280).

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

5676185272320 is a wasteful number, since it uses less digits than its factorization.

5676185272320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4449 (or 4417 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 5676185272320 in words is "five trillion, six hundred seventy-six billion, one hundred eighty-five million, two hundred seventy-two thousand, three hundred twenty".