5740746504840 has 320 divisors, whose sum is σ = 19880305101360. Its totient is φ = 1485138862080.

The previous prime is 5740746504839. The next prime is 5740746504851. The reversal of 5740746504840 is 484056470475.

5740746504840 is a `hidden beast` number, since 5 + 7 + 40 + 74 + 6 + 50 + 484 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 146320020324 + 5594426484516 = 382518^2 + 2365254^2 .

It is a super-2 number, since 2×5740746504840² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14228772 + ... + 14626668.

Almost surely, 2^{5740746504840} 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 5740746504840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9940152550680).

5740746504840 is an abundant number, since it is smaller than the sum of its proper divisors (14139558596520).

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

5740746504840 is a wasteful number, since it uses less digits than its factorization.

5740746504840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398054 (or 398041 counting only the distinct ones).

The product of its (nonzero) digits is 15052800, while the sum is 54.

The spelling of 5740746504840 in words is "five trillion, seven hundred forty billion, seven hundred forty-six million, five hundred four thousand, eight hundred forty".