4635480641904 has 240 divisors, whose sum is σ = 15229964118720. Its totient is φ = 1288367493120.

The previous prime is 4635480641903. The next prime is 4635480641927. The reversal of 4635480641904 is 4091460845364.

4635480641904 is a `hidden beast` number, since 4 + 6 + 3 + 548 + 0 + 6 + 4 + 1 + 90 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4635480641903) 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, 252895012 + ... + 252913340.

It is an arithmetic number, because the mean of its divisors is an integer number (63458183828).

Almost surely, 2^{4635480641904} 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 4635480641904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7614982059360).

4635480641904 is an abundant number, since it is smaller than the sum of its proper divisors (10594483476816).

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

4635480641904 is a wasteful number, since it uses less digits than its factorization.

4635480641904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25168 (or 25159 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 4635480641904 in words is "four trillion, six hundred thirty-five billion, four hundred eighty million, six hundred forty-one thousand, nine hundred four".