628766286720000 has 3520 divisors, whose sum is σ = 2718762454324224. Its totient is φ = 126647009280000.

The previous prime is 628766286719867. The next prime is 628766286720001. The reversal of 628766286720000 is 27682667826.

It is a tau number, because it is divible by the number of its divisors (3520).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (628766286720001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 107352957072 + ... + 107352962928.

Almost surely, 2^{628766286720000} is an apocalyptic number.

628766286720000 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 628766286720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359381227162112).

628766286720000 is an abundant number, since it is smaller than the sum of its proper divisors (2089996167604224).

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

628766286720000 is a wasteful number, since it uses less digits than its factorization.

628766286720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5964 (or 5931 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 60.

The spelling of 628766286720000 in words is "six hundred twenty-eight trillion, seven hundred sixty-six billion, two hundred eighty-six million, seven hundred twenty thousand".