6758561628 has 288 divisors, whose sum is σ = 21721190400. Its totient is φ = 1724654592.

The previous prime is 6758561617. The next prime is 6758561629. The reversal of 6758561628 is 8261658576.

6758561628 is a `hidden beast` number, since 6 + 7 + 5 + 8 + 5 + 6 + 1 + 628 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6758561629) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14109493 + ... + 14109971.

It is an arithmetic number, because the mean of its divisors is an integer number (75420800).

Almost surely, 2^6758561628 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6758561628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10860595200).

6758561628 is an abundant number, since it is smaller than the sum of its proper divisors (14962628772).

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

6758561628 is a wasteful number, since it uses less digits than its factorization.

6758561628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 636 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The square root of 6758561628 is about 82210.4715227933. The cubic root of 6758561628 is about 1890.6802724612.

The spelling of 6758561628 in words is "six billion, seven hundred fifty-eight million, five hundred sixty-one thousand, six hundred twenty-eight".