4618641600 has 672 divisors, whose sum is σ = 18822009600. Its totient is φ = 1094860800.

The previous prime is 4618641589. The next prime is 4618641647. The reversal of 4618641600 is 61468164.

4618641600 is a `hidden beast` number, since 4 + 6 + 1 + 8 + 6 + 41 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13953435 + ... + 13953765.

Almost surely, 2^4618641600 is an apocalyptic number.

4618641600 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 4618641600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9411004800).

4618641600 is an abundant number, since it is smaller than the sum of its proper divisors (14203368000).

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

4618641600 is a wasteful number, since it uses less digits than its factorization.

4618641600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4618641600 is about 67960.5885789698. The cubic root of 4618641600 is about 1665.3470585675.

The spelling of 4618641600 in words is "four billion, six hundred eighteen million, six hundred forty-one thousand, six hundred".