4627494144 has 432 divisors, whose sum is σ = 17159298240. Its totient is φ = 1219276800.

The previous prime is 4627494143. The next prime is 4627494161. The reversal of 4627494144 is 4414947264.

4627494144 is a `hidden beast` number, since 4 + 627 + 4 + 9 + 4 + 14 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4627494144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4627494143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4402419 + ... + 4403469.

Almost surely, 2^4627494144 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 4627494144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8579649120).

4627494144 is an abundant number, since it is smaller than the sum of its proper divisors (12531804096).

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

4627494144 is a wasteful number, since it uses less digits than its factorization.

4627494144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103 (or 1076 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 4627494144 is about 68025.6873835171. The cubic root of 4627494144 is about 1666.4103689800.

The spelling of 4627494144 in words is "four billion, six hundred twenty-seven million, four hundred ninety-four thousand, one hundred forty-four".