5816640000 has 400 divisors, whose sum is σ = 19865416032. Its totient is φ = 1511424000.

The previous prime is 5816639989. The next prime is 5816640013. The reversal of 5816640000 is 466185.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 5816640000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 70079959 + ... + 70080041.

Almost surely, 2^5816640000 is an apocalyptic number.

5816640000 is a gapful number since it is divisible by the number (50) 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 5816640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9932708016).

5816640000 is an abundant number, since it is smaller than the sum of its proper divisors (14048776032).

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

5816640000 is an frugal number, since it uses more digits than its factorization.

5816640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 5816640000 is about 76266.8997665435. The cubic root of 5816640000 is about 1798.4183637305.

It can be divided in two parts, 5816 and 640000, that added together give a triangular number (645816 = T₁₁₃₆).

The spelling of 5816640000 in words is "five billion, eight hundred sixteen million, six hundred forty thousand".