4635877260 has 288 divisors, whose sum is σ = 16331293440. Its totient is φ = 976292352.

The previous prime is 4635877243. The next prime is 4635877261. The reversal of 4635877260 is 627785364.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (4635877261) 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, 2065699 + ... + 2067941.

It is an arithmetic number, because the mean of its divisors is an integer number (56705880).

Almost surely, 2^4635877260 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 4635877260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8165646720).

4635877260 is an abundant number, since it is smaller than the sum of its proper divisors (11695416180).

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

4635877260 is a wasteful number, since it uses less digits than its factorization.

4635877260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2325 (or 2316 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 48.

The square root of 4635877260 is about 68087.2767850206. The cubic root of 4635877260 is about 1667.4160453196.

The spelling of 4635877260 in words is "four billion, six hundred thirty-five million, eight hundred seventy-seven thousand, two hundred sixty".