5755746671640 has 384 divisors, whose sum is σ = 22203857894400. Its totient is φ = 1265169024000.

The previous prime is 5755746671621. The next prime is 5755746671699. The reversal of 5755746671640 is 461766475575.

5755746671640 is a `hidden beast` number, since 5 + 7 + 5 + 5 + 7 + 466 + 7 + 164 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18186189 + ... + 18499971.

It is an arithmetic number, because the mean of its divisors is an integer number (57822546600).

Almost surely, 2^{5755746671640} 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 5755746671640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11101928947200).

5755746671640 is an abundant number, since it is smaller than the sum of its proper divisors (16448111222760).

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

5755746671640 is a wasteful number, since it uses less digits than its factorization.

5755746671640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314087 (or 314080 counting only the distinct ones).

The product of its (nonzero) digits is 148176000, while the sum is 63.

The spelling of 5755746671640 in words is "five trillion, seven hundred fifty-five billion, seven hundred forty-six million, six hundred seventy-one thousand, six hundred forty".