5740749728640 has 1024 divisors, whose sum is σ = 21836062080000. Its totient is φ = 1438933745664.

The previous prime is 5740749728591. The next prime is 5740749728759. The reversal of 5740749728640 is 468279470475.

5740749728640 is a `hidden beast` number, since 5 + 7 + 407 + 49 + 72 + 86 + 40 = 666.

It is a super-4 number, since 4×5740749728640⁴ (a number of 52 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3696554104 + ... + 3696555656.

It is an arithmetic number, because the mean of its divisors is an integer number (21324279375).

Almost surely, 2^{5740749728640} 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 5740749728640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10918031040000).

5740749728640 is an abundant number, since it is smaller than the sum of its proper divisors (16095312351360).

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

5740749728640 is a wasteful number, since it uses less digits than its factorization.

5740749728640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1751 (or 1721 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 63.

The spelling of 5740749728640 in words is "five trillion, seven hundred forty billion, seven hundred forty-nine million, seven hundred twenty-eight thousand, six hundred forty".