7628186016 has 264 divisors, whose sum is σ = 24641717184. Its totient is φ = 2305272960.

The previous prime is 7628185973. The next prime is 7628186047. The reversal of 7628186016 is 6106818267.

It is a happy number.

7628186016 is a `hidden beast` number, since 7 + 6 + 28 + 18 + 601 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

It is an unprimeable number.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 20785065 + ... + 20785431.

Almost surely, 2^7628186016 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 7628186016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12320858592).

7628186016 is an abundant number, since it is smaller than the sum of its proper divisors (17013531168).

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

7628186016 is an equidigital number, since it uses as much as digits as its factorization.

7628186016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 7628186016 is about 87339.4871521467. The cubic root of 7628186016 is about 1968.5226898376.

The spelling of 7628186016 in words is "seven billion, six hundred twenty-eight million, one hundred eighty-six thousand, sixteen".