4604607641088 has 960 divisors, whose sum is σ = 17293643136000. Its totient is φ = 1198848688128.

The previous prime is 4604607641087. The next prime is 4604607641107. The reversal of 4604607641088 is 8801467064064.

4604607641088 is a `hidden beast` number, since 4 + 6 + 0 + 460 + 76 + 4 + 108 + 8 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4604607641087) 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, 695661843 + ... + 695668461.

It is an arithmetic number, because the mean of its divisors is an integer number (18014211600).

Almost surely, 2^{4604607641088} is an apocalyptic number.

4604607641088 is a gapful number since it is divisible by the number (48) 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 4604607641088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8646821568000).

4604607641088 is an abundant number, since it is smaller than the sum of its proper divisors (12689035494912).

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

4604607641088 is a wasteful number, since it uses less digits than its factorization.

4604607641088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6752 (or 6723 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 4604607641088 in words is "four trillion, six hundred four billion, six hundred seven million, six hundred forty-one thousand, eighty-eight".