4576127640 has 256 divisors, whose sum is σ = 16239744000. Its totient is φ = 1030966272.

The previous prime is 4576127617. The next prime is 4576127641. The reversal of 4576127640 is 467216754.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 4576127592 and 4576127601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4576127641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3003919 + ... + 3005441.

It is an arithmetic number, because the mean of its divisors is an integer number (63436500).

Almost surely, 2^4576127640 is an apocalyptic number.

4576127640 is a gapful number since it is divisible by the number (40) 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 4576127640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8119872000).

4576127640 is an abundant number, since it is smaller than the sum of its proper divisors (11663616360).

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

4576127640 is a wasteful number, since it uses less digits than its factorization.

4576127640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The square root of 4576127640 is about 67647.0815335000. The cubic root of 4576127640 is about 1660.2215362146.

The spelling of 4576127640 in words is "four billion, five hundred seventy-six million, one hundred twenty-seven thousand, six hundred forty".