75007065070080 has 1280 divisors, whose sum is σ = 331423362547200. Its totient is φ = 15797421342720.

The previous prime is 75007065070037. The next prime is 75007065070099. The reversal of 75007065070080 is 8007056070057.

75007065070080 is a `hidden beast` number, since 7 + 500 + 7 + 0 + 65 + 0 + 7 + 0 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×75007065070080² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 127 ways as a sum of consecutive naturals, for example, 167807526 + ... + 168253914.

It is an arithmetic number, because the mean of its divisors is an integer number (258924501990).

Almost surely, 2^{75007065070080} 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 75007065070080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165711681273600).

75007065070080 is an abundant number, since it is smaller than the sum of its proper divisors (256416297477120).

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

75007065070080 is a wasteful number, since it uses less digits than its factorization.

75007065070080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446462 (or 446440 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 45.

The spelling of 75007065070080 in words is "seventy-five trillion, seven billion, sixty-five million, seventy thousand, eighty".