5755657936644 has 1152 divisors, whose sum is σ = 19746018432000. Its totient is φ = 1417844736000.

The previous prime is 5755657936621. The next prime is 5755657936673. The reversal of 5755657936644 is 4466397565575.

5755657936644 is a `hidden beast` number, since 5 + 7 + 5 + 5 + 6 + 579 + 3 + 6 + 6 + 44 = 666.

It is a super-3 number, since 3×5755657936644³ (a number of 39 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 38628576682 + ... + 38628576830.

It is an arithmetic number, because the mean of its divisors is an integer number (17140641000).

Almost surely, 2^{5755657936644} is an apocalyptic number.

5755657936644 is a gapful number since it is divisible by the number (54) 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 5755657936644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9873009216000).

5755657936644 is an abundant number, since it is smaller than the sum of its proper divisors (13990360495356).

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

5755657936644 is a wasteful number, since it uses less digits than its factorization.

5755657936644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 423 counting only the distinct ones).

The product of its digits is 2857680000, while the sum is 72.

The spelling of 5755657936644 in words is "five trillion, seven hundred fifty-five billion, six hundred fifty-seven million, nine hundred thirty-six thousand, six hundred forty-four".