628782704640 has 960 divisors, whose sum is σ = 2512992081600. Its totient is φ = 149442527232.

The previous prime is 628782704591. The next prime is 628782704653. The reversal of 628782704640 is 46407287826.

It is a happy number.

628782704640 is a `hidden beast` number, since 628 + 7 + 8 + 2 + 7 + 0 + 4 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 79 ways as a sum of consecutive naturals, for example, 267907947 + ... + 267910293.

It is an arithmetic number, because the mean of its divisors is an integer number (2617700085).

Almost surely, 2^628782704640 is an apocalyptic number.

628782704640 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 628782704640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1256496040800).

628782704640 is an abundant number, since it is smaller than the sum of its proper divisors (1884209376960).

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

628782704640 is a wasteful number, since it uses less digits than its factorization.

628782704640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2422 (or 2393 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 628782704640 in words is "six hundred twenty-eight billion, seven hundred eighty-two million, seven hundred four thousand, six hundred forty".