75979942548048 has 1280 divisors, whose sum is σ = 280982175989760. Its totient is φ = 19249477632000.

The previous prime is 75979942548031. The next prime is 75979942548161. The reversal of 75979942548048 is 84084524997957.

75979942548048 is a `hidden beast` number, since 7 + 5 + 9 + 7 + 9 + 94 + 2 + 5 + 480 + 48 = 666.

It is a super-2 number, since 2×75979942548048² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 27719787958 + ... + 27719790698.

It is an arithmetic number, because the mean of its divisors is an integer number (219517324992).

Almost surely, 2^{75979942548048} 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 75979942548048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140491087994880).

75979942548048 is an abundant number, since it is smaller than the sum of its proper divisors (205002233441712).

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

75979942548048 is a wasteful number, since it uses less digits than its factorization.

75979942548048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2966 (or 2932 counting only the distinct ones).

The product of its (nonzero) digits is 7315660800, while the sum is 81.

The spelling of 75979942548048 in words is "seventy-five trillion, nine hundred seventy-nine billion, nine hundred forty-two million, five hundred forty-eight thousand, forty-eight".