4661241624 has 192 divisors, whose sum is σ = 14010796800. Its totient is φ = 1390894848.

The previous prime is 4661241593. The next prime is 4661241647. The reversal of 4661241624 is 4261421664.

4661241624 is a `hidden beast` number, since 4 + 6 + 6 + 1 + 24 + 1 + 624 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7204069 + ... + 7204715.

It is an arithmetic number, because the mean of its divisors is an integer number (72972900).

Almost surely, 2^4661241624 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 4661241624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7005398400).

4661241624 is an abundant number, since it is smaller than the sum of its proper divisors (9349555176).

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

4661241624 is a wasteful number, since it uses less digits than its factorization.

4661241624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 887 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 4661241624 is about 68273.2863131694. The cubic root of 4661241624 is about 1670.4515044866.

The spelling of 4661241624 in words is "four billion, six hundred sixty-one million, two hundred forty-one thousand, six hundred twenty-four".