628421616023040 has 960 divisors, whose sum is σ = 2731169952935424. Its totient is φ = 135189844328448.

The previous prime is 628421616023039. The next prime is 628421616023099. The reversal of 628421616023040 is 40320616124826.

628421616023040 is a `hidden beast` number, since 6 + 2 + 8 + 4 + 2 + 1 + 6 + 1 + 602 + 30 + 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69783007 + ... + 78272033.

Almost surely, 2^{628421616023040} is an apocalyptic number.

628421616023040 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 628421616023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365584976467712).

628421616023040 is an abundant number, since it is smaller than the sum of its proper divisors (2102748336912384).

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

628421616023040 is an equidigital number, since it uses as much as digits as its factorization.

628421616023040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8489089 (or 8489061 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 628421616023040 in words is "six hundred twenty-eight trillion, four hundred twenty-one billion, six hundred sixteen million, twenty-three thousand, forty".