75076972146 has 128 divisors (see below), whose sum is σ = 183300480000. Its totient is φ = 22589280000.

The previous prime is 75076972133. The next prime is 75076972169. The reversal of 75076972146 is 64127967057.

75076972146 is a `hidden beast` number, since 7 + 507 + 6 + 97 + 2 + 1 + 46 = 666.

It is a super-2 number, since 2×75076972146² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 75076972092 and 75076972101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71433321 + ... + 71434371.

It is an arithmetic number, because the mean of its divisors is an integer number (1432035000).

Almost surely, 2^75076972146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75076972146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91650240000).

75076972146 is an abundant number, since it is smaller than the sum of its proper divisors (108223507854).

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

75076972146 is a wasteful number, since it uses less digits than its factorization.

75076972146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1813 (or 1807 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 75076972146 in words is "seventy-five billion, seventy-six million, nine hundred seventy-two thousand, one hundred forty-six".