7728583680 has 352 divisors, whose sum is σ = 28226983680. Its totient is φ = 2003927040.

The previous prime is 7728583669. The next prime is 7728583739. The reversal of 7728583680 is 863858277.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5114125 + ... + 5115635.

Almost surely, 2^7728583680 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 7728583680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14113491840).

7728583680 is an abundant number, since it is smaller than the sum of its proper divisors (20498400000).

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

7728583680 is a wasteful number, since it uses less digits than its factorization.

7728583680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1582 (or 1558 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The square root of 7728583680 is about 87912.3636356116. The cubic root of 7728583680 is about 1977.1212527611.

The spelling of 7728583680 in words is "seven billion, seven hundred twenty-eight million, five hundred eighty-three thousand, six hundred eighty".