5755457406 has 64 divisors (see below), whose sum is σ = 12335146560. Its totient is φ = 1783971840.

The previous prime is 5755457401. The next prime is 5755457431. The reversal of 5755457406 is 6047545575.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5755457401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3366880 + ... + 3368588.

It is an arithmetic number, because the mean of its divisors is an integer number (192736665).

Almost surely, 2^5755457406 is an apocalyptic number.

5755457406 is an abundant number, since it is smaller than the sum of its proper divisors (6579689154).

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

5755457406 is a wasteful number, since it uses less digits than its factorization.

5755457406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2109.

The product of its (nonzero) digits is 2940000, while the sum is 48.

The square root of 5755457406 is about 75864.7309755989. The cubic root of 5755457406 is about 1792.0905431554.

It can be divided in two parts, 57554 and 57406, that added together give a triangular number (114960 = T₄₇₉).

The spelling of 5755457406 in words is "five billion, seven hundred fifty-five million, four hundred fifty-seven thousand, four hundred six".