75440496860640 has 576 divisors, whose sum is σ = 281796731092800. Its totient is φ = 18784703250432.

The previous prime is 75440496860633. The next prime is 75440496860653. The reversal of 75440496860640 is 4606869404457.

It is a happy number.

75440496860640 is a `hidden beast` number, since 7 + 5 + 4 + 4 + 0 + 496 + 86 + 0 + 64 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1184481916 + ... + 1184545604.

It is an arithmetic number, because the mean of its divisors is an integer number (489230435925).

Almost surely, 2^{75440496860640} 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 75440496860640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140898365546400).

75440496860640 is an abundant number, since it is smaller than the sum of its proper divisors (206356234232160).

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

75440496860640 is a wasteful number, since it uses less digits than its factorization.

75440496860640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63984 (or 63843 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 75440496860640 in words is "seventy-five trillion, four hundred forty billion, four hundred ninety-six million, eight hundred sixty thousand, six hundred forty".