7628767680 has 336 divisors, whose sum is σ = 26589874176. Its totient is φ = 1850818560.

The previous prime is 7628767669. The next prime is 7628767681. The reversal of 7628767680 is 867678267.

It is a self number, because there is not a number n which added to its sum of digits gives 7628767680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7628767681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8600197 + ... + 8601083.

Almost surely, 2^7628767680 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 7628767680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13294937088).

7628767680 is an abundant number, since it is smaller than the sum of its proper divisors (18961106496).

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

7628767680 is a wasteful number, since it uses less digits than its factorization.

7628767680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 57.

The square root of 7628767680 is about 87342.8169914390. The cubic root of 7628767680 is about 1968.5727231254.

The spelling of 7628767680 in words is "seven billion, six hundred twenty-eight million, seven hundred sixty-seven thousand, six hundred eighty".