628625111040 has 960 divisors, whose sum is σ = 2399543546400. Its totient is φ = 156959244288.

The previous prime is 628625111033. The next prime is 628625111057. The reversal of 628625111040 is 40111526826.

It is a happy number.

628625111040 is a `hidden beast` number, since 6 + 2 + 8 + 625 + 11 + 10 + 4 + 0 = 666.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 628625110986 and 628625111004.

It is a congruent number.

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, 1780807504 + ... + 1780807856.

Almost surely, 2^628625111040 is an apocalyptic number.

628625111040 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 628625111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199771773200).

628625111040 is an abundant number, since it is smaller than the sum of its proper divisors (1770918435360).

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

628625111040 is a wasteful number, since it uses less digits than its factorization.

628625111040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Adding to 628625111040 its reverse (40111526826), we get a palindrome (668736637866).

The spelling of 628625111040 in words is "six hundred twenty-eight billion, six hundred twenty-five million, one hundred eleven thousand, forty".