5746540464 has 300 divisors, whose sum is σ = 20489552424. Its totient is φ = 1544997888.

The previous prime is 5746540421. The next prime is 5746540489. The reversal of 5746540464 is 4640456475.

5746540464 is a `hidden beast` number, since 5 + 7 + 46 + 540 + 4 + 64 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1076907 + ... + 1082229.

Almost surely, 2^5746540464 is an apocalyptic number.

5746540464 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 5746540464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10244776212).

5746540464 is an abundant number, since it is smaller than the sum of its proper divisors (14743011960).

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

5746540464 is a wasteful number, since it uses less digits than its factorization.

5746540464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5374 (or 5352 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The square root of 5746540464 is about 75805.9395034452. The cubic root of 5746540464 is about 1791.1645682639.

The spelling of 5746540464 in words is "five billion, seven hundred forty-six million, five hundred forty thousand, four hundred sixty-four".