7628955840 has 448 divisors, whose sum is σ = 29752381440. Its totient is φ = 1847577600.

The previous prime is 7628955827. The next prime is 7628955877. The reversal of 7628955840 is 485598267.

7628955840 is a `hidden beast` number, since 7 + 6 + 2 + 89 + 558 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7697745 + ... + 7698735.

Almost surely, 2^7628955840 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 7628955840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14876190720).

7628955840 is an abundant number, since it is smaller than the sum of its proper divisors (22123425600).

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

7628955840 is an equidigital number, since it uses as much as digits as its factorization.

7628955840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The square root of 7628955840 is about 87343.8941197380. The cubic root of 7628955840 is about 1968.5889076354.

The spelling of 7628955840 in words is "seven billion, six hundred twenty-eight million, nine hundred fifty-five thousand, eight hundred forty".