7649105688576 has 192 divisors, whose sum is σ = 24718347763200. Its totient is φ = 2317910630400.

The previous prime is 7649105688571. The next prime is 7649105688619. The reversal of 7649105688576 is 6758865019467.

7649105688576 is a `hidden beast` number, since 7 + 6 + 4 + 9 + 1 + 0 + 568 + 8 + 57 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7649105688571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5679480 + ... + 6895991.

It is an arithmetic number, because the mean of its divisors is an integer number (128741394600).

Almost surely, 2^{7649105688576} is an apocalyptic number.

It is an amenable number.

7649105688576 is an abundant number, since it is smaller than the sum of its proper divisors (17069242074624).

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

7649105688576 is a wasteful number, since it uses less digits than its factorization.

7649105688576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12575513 (or 12575487 counting only the distinct ones).

The product of its (nonzero) digits is 609638400, while the sum is 72.

The spelling of 7649105688576 in words is "seven trillion, six hundred forty-nine billion, one hundred five million, six hundred eighty-eight thousand, five hundred seventy-six".