7728140160 has 576 divisors, whose sum is σ = 30662264880. Its totient is φ = 1786576896.

The previous prime is 7728140159. The next prime is 7728140201. The reversal of 7728140160 is 610418277.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16548247 + ... + 16548713.

Almost surely, 2^7728140160 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 7728140160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15331132440).

7728140160 is an abundant number, since it is smaller than the sum of its proper divisors (22934124720).

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

7728140160 is a wasteful number, since it uses less digits than its factorization.

7728140160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 7728140160 is about 87909.8410873322. The cubic root of 7728140160 is about 1977.0834317049.

The spelling of 7728140160 in words is "seven billion, seven hundred twenty-eight million, one hundred forty thousand, one hundred sixty".