75441166240 has 192 divisors, whose sum is σ = 197042751360. Its totient is φ = 27066880000.

The previous prime is 75441166193. The next prime is 75441166249. The reversal of 75441166240 is 4266114457.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 75441166193 and 75441166202.

It is not an unprimeable number, because it can be changed into a prime (75441166249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69148095 + ... + 69149185.

It is an arithmetic number, because the mean of its divisors is an integer number (1026264330).

Almost surely, 2^75441166240 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 75441166240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98521375680).

75441166240 is an abundant number, since it is smaller than the sum of its proper divisors (121601585120).

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

75441166240 is a wasteful number, since it uses less digits than its factorization.

75441166240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1607 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 75441166240 in words is "seventy-five billion, four hundred forty-one million, one hundred sixty-six thousand, two hundred forty".