6625142784 has 288 divisors, whose sum is σ = 21118537440. Its totient is φ = 1988001792.

The previous prime is 6625142767. The next prime is 6625142803. The reversal of 6625142784 is 4872415266.

6625142784 is a `hidden beast` number, since 6 + 62 + 514 + 2 + 78 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10303167 + ... + 10303809.

It is an arithmetic number, because the mean of its divisors is an integer number (73328255).

Almost surely, 2^6625142784 is an apocalyptic number.

6625142784 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 6625142784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10559268720).

6625142784 is an abundant number, since it is smaller than the sum of its proper divisors (14493394656).

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

6625142784 is a wasteful number, since it uses less digits than its factorization.

6625142784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 704 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 6625142784 is about 81394.9800909122. The cubic root of 6625142784 is about 1878.1563697810.

The spelling of 6625142784 in words is "six billion, six hundred twenty-five million, one hundred forty-two thousand, seven hundred eighty-four".