75947010048 has 1008 divisors, whose sum is σ = 288315387360. Its totient is φ = 19564167168.

The previous prime is 75947009989. The next prime is 75947010049. The reversal of 75947010048 is 84001074957.

It is a happy number.

75947010048 is a `hidden beast` number, since 7 + 594 + 7 + 0 + 10 + 0 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a junction number, because it is equal to n+sod(n) for n = 75947009985 and 75947010012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75947010049) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1766209515 + ... + 1766209557.

It is an arithmetic number, because the mean of its divisors is an integer number (286027170).

Almost surely, 2^75947010048 is an apocalyptic number.

75947010048 is a gapful number since it is divisible by the number (78) 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 75947010048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144157693680).

75947010048 is an abundant number, since it is smaller than the sum of its proper divisors (212368377312).

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

75947010048 is an equidigital number, since it uses as much as digits as its factorization.

75947010048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 75947010048 in words is "seventy-five billion, nine hundred forty-seven million, ten thousand, forty-eight".