5741629560576 has 2304 divisors, whose sum is σ = 23735255040000. Its totient is φ = 1324534726656.

The previous prime is 5741629560529. The next prime is 5741629560587. The reversal of 5741629560576 is 6750659261475.

It is a happy number.

5741629560576 is a `hidden beast` number, since 5 + 7 + 4 + 1 + 6 + 2 + 9 + 56 + 0 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 11986700305 + ... + 11986700783.

It is an arithmetic number, because the mean of its divisors is an integer number (10301760000).

Almost surely, 2^{5741629560576} is an apocalyptic number.

5741629560576 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 5741629560576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11867627520000).

5741629560576 is an abundant number, since it is smaller than the sum of its proper divisors (17993625479424).

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

5741629560576 is a wasteful number, since it uses less digits than its factorization.

5741629560576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 95256000, while the sum is 63.

The spelling of 5741629560576 in words is "five trillion, seven hundred forty-one billion, six hundred twenty-nine million, five hundred sixty thousand, five hundred seventy-six".