5841690624 has 560 divisors, whose sum is σ = 22026615840. Its totient is φ = 1517322240.

The previous prime is 5841690599. The next prime is 5841690649. The reversal of 5841690624 is 4260961485.

5841690624 is a `hidden beast` number, since 5 + 8 + 4 + 16 + 9 + 0 + 624 = 666.

It is an interprime number because it is at equal distance from previous prime (5841690599) and next prime (5841690649).

It is a self number, because there is not a number n which added to its sum of digits gives 5841690624.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 531062779 + ... + 531062789.

Almost surely, 2^5841690624 is an apocalyptic number.

5841690624 is a gapful number since it is divisible by the number (54) 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 5841690624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11013307920).

5841690624 is an abundant number, since it is smaller than the sum of its proper divisors (16184925216).

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

5841690624 is an frugal number, since it uses more digits than its factorization.

5841690624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 5841690624 is about 76430.9533108151. The cubic root of 5841690624 is about 1800.9964260844.

The spelling of 5841690624 in words is "five billion, eight hundred forty-one million, six hundred ninety thousand, six hundred twenty-four".