4214757564 has 60 divisors (see below), whose sum is σ = 11054359624. Its totient is φ = 1400309856.

The previous prime is 4214757557. The next prime is 4214757577. The reversal of 4214757564 is 4657574124.

4214757564 is a `hidden beast` number, since 4 + 2 + 14 + 7 + 575 + 64 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 78282 + ... + 120654.

Almost surely, 2^4214757564 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 4214757564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5527179812).

4214757564 is an abundant number, since it is smaller than the sum of its proper divisors (6839602060).

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

4214757564 is a wasteful number, since it uses less digits than its factorization.

4214757564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42696 (or 42685 counting only the distinct ones).

The product of its digits is 940800, while the sum is 45.

The square root of 4214757564 is about 64921.1642224629. The cubic root of 4214757564 is about 1615.3161415308.

The spelling of 4214757564 in words is "four billion, two hundred fourteen million, seven hundred fifty-seven thousand, five hundred sixty-four".