75748665706560 has 448 divisors, whose sum is σ = 333162965514240. Its totient is φ = 15739982346240.

The previous prime is 75748665706559. The next prime is 75748665706579. The reversal of 75748665706560 is 6560756684757.

It is a happy number.

75748665706560 is a `hidden beast` number, since 7 + 5 + 7 + 4 + 8 + 6 + 6 + 57 + 0 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 56264634 + ... + 57595193.

Almost surely, 2^{75748665706560} is an apocalyptic number.

75748665706560 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

75748665706560 is an abundant number, since it is smaller than the sum of its proper divisors (257414299807680).

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

75748665706560 is a wasteful number, since it uses less digits than its factorization.

75748665706560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113859871 (or 113859855 counting only the distinct ones).

The product of its (nonzero) digits is 1778112000, while the sum is 72.

The spelling of 75748665706560 in words is "seventy-five trillion, seven hundred forty-eight billion, six hundred sixty-five million, seven hundred six thousand, five hundred sixty".