75644105440 has 48 divisors (see below), whose sum is σ = 179908646400. Its totient is φ = 30054561280.

The previous prime is 75644105431. The next prime is 75644105569. The reversal of 75644105440 is 4450144657.

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 = 75644105393 and 75644105402.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1562656 + ... + 1610335.

It is an arithmetic number, because the mean of its divisors is an integer number (3748096800).

Almost surely, 2^75644105440 is an apocalyptic number.

It is an amenable number.

75644105440 is an abundant number, since it is smaller than the sum of its proper divisors (104264540960).

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

75644105440 is a wasteful number, since it uses less digits than its factorization.

75644105440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3173155 (or 3173147 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 40.

The spelling of 75644105440 in words is "seventy-five billion, six hundred forty-four million, one hundred five thousand, four hundred forty".