5830626816 has 600 divisors, whose sum is σ = 21456287424. Its totient is φ = 1517322240.

The previous prime is 5830626803. The next prime is 5830626821. The reversal of 5830626816 is 6186260385.

5830626816 is a `hidden beast` number, since 5 + 8 + 3 + 0 + 626 + 8 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 188084721 + ... + 188084751.

Almost surely, 2^5830626816 is an apocalyptic number.

5830626816 is a gapful number since it is divisible by the number (56) 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 5830626816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10728143712).

5830626816 is an abundant number, since it is smaller than the sum of its proper divisors (15625660608).

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

5830626816 is an equidigital number, since it uses as much as digits as its factorization.

5830626816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 60 counting only the distinct ones).

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

The square root of 5830626816 is about 76358.5412118382. The cubic root of 5830626816 is about 1799.8587148365.

The spelling of 5830626816 in words is "five billion, eight hundred thirty million, six hundred twenty-six thousand, eight hundred sixteen".