4257074664 has 128 divisors (see below), whose sum is σ = 12218976000. Its totient is φ = 1372246272.

The previous prime is 4257074629. The next prime is 4257074677. The reversal of 4257074664 is 4664707524.

4257074664 is a `hidden beast` number, since 4 + 2 + 570 + 74 + 6 + 6 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1381077 + ... + 1384155.

It is an arithmetic number, because the mean of its divisors is an integer number (95460750).

Almost surely, 2^4257074664 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 4257074664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6109488000).

4257074664 is an abundant number, since it is smaller than the sum of its proper divisors (7961901336).

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

4257074664 is a wasteful number, since it uses less digits than its factorization.

4257074664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3304 (or 3294 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The square root of 4257074664 is about 65246.2616860154. The cubic root of 4257074664 is about 1620.7041931661.

The spelling of 4257074664 in words is "four billion, two hundred fifty-seven million, seventy-four thousand, six hundred sixty-four".