630028675584 has 1280 divisors, whose sum is σ = 2447249080320. Its totient is φ = 155271168000.

The previous prime is 630028675567. The next prime is 630028675589. The reversal of 630028675584 is 485576820036.

630028675584 is a `hidden beast` number, since 6 + 3 + 0 + 0 + 2 + 86 + 7 + 558 + 4 = 666.

It is a super-2 number, since 2×630028675584² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 630028675584.

It is not an unprimeable number, because it can be changed into a prime (630028675589) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2012871012 + ... + 2012871324.

It is an arithmetic number, because the mean of its divisors is an integer number (1911913344).

Almost surely, 2^630028675584 is an apocalyptic number.

630028675584 is a gapful number since it is divisible by the number (64) 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 630028675584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223624540160).

630028675584 is an abundant number, since it is smaller than the sum of its proper divisors (1817220404736).

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

630028675584 is a wasteful number, since it uses less digits than its factorization.

630028675584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 630028675584 in words is "six hundred thirty billion, twenty-eight million, six hundred seventy-five thousand, five hundred eighty-four".