4587645090 has 192 divisors, whose sum is σ = 13653909504. Its totient is φ = 981332352.

The previous prime is 4587645089. The next prime is 4587645091. The reversal of 4587645090 is 905467854.

It is an interprime number because it is at equal distance from previous prime (4587645089) and next prime (4587645091).

It is a super-2 number, since 2×4587645090² = 42092974943602216200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4587645091) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1587627 + ... + 1590513.

It is an arithmetic number, because the mean of its divisors is an integer number (71114112).

Almost surely, 2^4587645090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4587645090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6826954752).

4587645090 is an abundant number, since it is smaller than the sum of its proper divisors (9066264414).

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

4587645090 is a wasteful number, since it uses less digits than its factorization.

4587645090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2981 (or 2974 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The square root of 4587645090 is about 67732.1569861761. The cubic root of 4587645090 is about 1661.6132149729.

The spelling of 4587645090 in words is "four billion, five hundred eighty-seven million, six hundred forty-five thousand, ninety".