4908004617600 has 1920 divisors, whose sum is σ = 21685269196800. Its totient is φ = 1069479936000.

The previous prime is 4908004617583. The next prime is 4908004617619. The reversal of 4908004617600 is 67164008094.

4908004617600 is a `hidden beast` number, since 49 + 0 + 80 + 0 + 461 + 76 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3993493786 + ... + 3993495014.

It is an arithmetic number, because the mean of its divisors is an integer number (11294411040).

Almost surely, 2^{4908004617600} is an apocalyptic number.

4908004617600 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 4908004617600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10842634598400).

4908004617600 is an abundant number, since it is smaller than the sum of its proper divisors (16777264579200).

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

4908004617600 is a wasteful number, since it uses less digits than its factorization.

4908004617600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 4908004617600 in words is "four trillion, nine hundred eight billion, four million, six hundred seventeen thousand, six hundred".