7628549760 has 512 divisors, whose sum is σ = 30125088000. Its totient is φ = 1811496960.

The previous prime is 7628549729. The next prime is 7628549783. The reversal of 7628549760 is 679458267.

7628549760 is a `hidden beast` number, since 7 + 6 + 28 + 549 + 76 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 7628549697 and 7628549706.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6513975 + ... + 6515145.

Almost surely, 2^7628549760 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 7628549760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15062544000).

7628549760 is an abundant number, since it is smaller than the sum of its proper divisors (22496538240).

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

7628549760 is a wasteful number, since it uses less digits than its factorization.

7628549760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The square root of 7628549760 is about 87341.5694844099. The cubic root of 7628549760 is about 1968.5539784880.

The spelling of 7628549760 in words is "seven billion, six hundred twenty-eight million, five hundred forty-nine thousand, seven hundred sixty".