628221516249600 has 8640 divisors, whose sum is σ = 3070655095495680. Its totient is φ = 125210669875200.

The previous prime is 628221516249589. The next prime is 628221516249629. The reversal of 628221516249600 is 6942615122826.

628221516249600 is a `hidden beast` number, since 6 + 2 + 8 + 2 + 2 + 1 + 5 + 1 + 6 + 24 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (8640).

It is a super-3 number, since 3×628221516249600³ (a number of 45 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 6476510476752 + ... + 6476510476848.

It is an arithmetic number, because the mean of its divisors is an integer number (355399895312).

Almost surely, 2^{628221516249600} is an apocalyptic number.

628221516249600 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 628221516249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535327547747840).

628221516249600 is an abundant number, since it is smaller than the sum of its proper divisors (2442433579246080).

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

628221516249600 is a wasteful number, since it uses less digits than its factorization.

628221516249600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 628221516249600 in words is "six hundred twenty-eight trillion, two hundred twenty-one billion, five hundred sixteen million, two hundred forty-nine thousand, six hundred".