6749695625904 has 240 divisors, whose sum is σ = 24051970575360. Its totient is φ = 1715866122240.

The previous prime is 6749695625891. The next prime is 6749695625909. The reversal of 6749695625904 is 4095265969476.

6749695625904 is a `hidden beast` number, since 6 + 7 + 4 + 9 + 6 + 9 + 562 + 59 + 0 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (6749695625909) 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 47 ways as a sum of consecutive naturals, for example, 5954809 + ... + 6997080.

It is an arithmetic number, because the mean of its divisors is an integer number (100216544064).

Almost surely, 2^{6749695625904} is an apocalyptic number.

It is an amenable number.

6749695625904 is an abundant number, since it is smaller than the sum of its proper divisors (17302274949456).

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

6749695625904 is a wasteful number, since it uses less digits than its factorization.

6749695625904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12951968 (or 12951959 counting only the distinct ones).

The product of its (nonzero) digits is 881798400, while the sum is 72.

The spelling of 6749695625904 in words is "six trillion, seven hundred forty-nine billion, six hundred ninety-five million, six hundred twenty-five thousand, nine hundred four".