4507669440 has 504 divisors, whose sum is σ = 17097359760. Its totient is φ = 1128701952.

The previous prime is 4507669429. The next prime is 4507669447. The reversal of 4507669440 is 449667054.

4507669440 is a `hidden beast` number, since 450 + 76 + 6 + 94 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4507669447) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39890824 + ... + 39890936.

Almost surely, 2^4507669440 is an apocalyptic number.

4507669440 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 4507669440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8548679880).

4507669440 is an abundant number, since it is smaller than the sum of its proper divisors (12589690320).

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

4507669440 is an equidigital number, since it uses as much as digits as its factorization.

4507669440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 4507669440 is about 67139.1796196528. The cubic root of 4507669440 is about 1651.9010155522.

The spelling of 4507669440 in words is "four billion, five hundred seven million, six hundred sixty-nine thousand, four hundred forty".