628085471207040 has 9216 divisors, whose sum is σ = 3087015579648000. Its totient is φ = 121674070425600.

The previous prime is 628085471207027. The next prime is 628085471207057. The reversal of 628085471207040 is 40702174580826.

628085471207040 is a `hidden beast` number, since 6 + 2 + 8 + 0 + 8 + 547 + 1 + 20 + 70 + 4 + 0 = 666.

628085471207040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 8603910564444 + ... + 8603910564516.

It is an arithmetic number, because the mean of its divisors is an integer number (334962628000).

Almost surely, 2^{628085471207040} is an apocalyptic number.

628085471207040 is a gapful number since it is divisible by the number (60) 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 628085471207040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543507789824000).

628085471207040 is an abundant number, since it is smaller than the sum of its proper divisors (2458930108440960).

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

628085471207040 is a wasteful number, since it uses less digits than its factorization.

628085471207040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 628085471207040 in words is "six hundred twenty-eight trillion, eighty-five billion, four hundred seventy-one million, two hundred seven thousand, forty".