4360009680 has 400 divisors, whose sum is σ = 16554513360. Its totient is φ = 1057038336.

The previous prime is 4360009679. The next prime is 4360009691. The reversal of 4360009680 is 869000634.

4360009680 is a `hidden beast` number, since 43 + 600 + 0 + 9 + 6 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 784448064 + 3575561616 = 28008^2 + 59796^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6149166 + ... + 6149874.

Almost surely, 2^4360009680 is an apocalyptic number.

4360009680 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 4360009680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8277256680).

4360009680 is an abundant number, since it is smaller than the sum of its proper divisors (12194503680).

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

4360009680 is a wasteful number, since it uses less digits than its factorization.

4360009680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 4360009680 is about 66030.3693765225. The cubic root of 4360009680 is about 1633.6630430695.

The spelling of 4360009680 in words is "four billion, three hundred sixty million, nine thousand, six hundred eighty".