7699648320 has 672 divisors, whose sum is σ = 34052256000. Its totient is φ = 1623379968.

The previous prime is 7699648309. The next prime is 7699648349. The reversal of 7699648320 is 238469967.

It is a happy number.

7699648320 is a `hidden beast` number, since 76 + 9 + 96 + 483 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 5502981 + ... + 5504379.

It is an arithmetic number, because the mean of its divisors is an integer number (50673000).

Almost surely, 2^7699648320 is an apocalyptic number.

7699648320 is a gapful number since it is divisible by the number (70) 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 7699648320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17026128000).

7699648320 is an abundant number, since it is smaller than the sum of its proper divisors (26352607680).

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

7699648320 is a wasteful number, since it uses less digits than its factorization.

7699648320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1452 (or 1429 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 7699648320 is about 87747.6399682635. The cubic root of 7699648320 is about 1974.6507587351.

It can be divided in two parts, 76996 and 48320, that added together give a square (125316 = 354²).

The spelling of 7699648320 in words is "seven billion, six hundred ninety-nine million, six hundred forty-eight thousand, three hundred twenty".