7705448640 has 252 divisors, whose sum is σ = 27152979984. Its totient is φ = 2005613568.

The previous prime is 7705448617. The next prime is 7705448657. The reversal of 7705448640 is 468445077.

It is a super-3 number, since 3×7705448640³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5324397 + ... + 5325843.

Almost surely, 2^7705448640 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 7705448640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13576489992).

7705448640 is an abundant number, since it is smaller than the sum of its proper divisors (19447531344).

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

7705448640 is a wasteful number, since it uses less digits than its factorization.

7705448640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1556 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The square root of 7705448640 is about 87780.6848913814. The cubic root of 7705448640 is about 1975.1464840345.

The spelling of 7705448640 in words is "seven billion, seven hundred five million, four hundred forty-eight thousand, six hundred forty".