5657768852736 has 1728 divisors, whose sum is σ = 21308325212160. Its totient is φ = 1309376839680.

The previous prime is 5657768852719. The next prime is 5657768852777. The reversal of 5657768852736 is 6372588677565.

Its product of digits (3556224000) is a multiple of the sum of its prime factors (432).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23672672905 + ... + 23672673143.

It is an arithmetic number, because the mean of its divisors is an integer number (12331206720).

Almost surely, 2^{5657768852736} is an apocalyptic number.

5657768852736 is a gapful number since it is divisible by the number (56) 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 5657768852736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10654162606080).

5657768852736 is an abundant number, since it is smaller than the sum of its proper divisors (15650556359424).

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

5657768852736 is a wasteful number, since it uses less digits than its factorization.

5657768852736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 411 counting only the distinct ones).

The product of its digits is 3556224000, while the sum is 75.

The spelling of 5657768852736 in words is "five trillion, six hundred fifty-seven billion, seven hundred sixty-eight million, eight hundred fifty-two thousand, seven hundred thirty-six".