75321620603640 has 192 divisors, whose sum is σ = 259235453000160. Its totient is φ = 18901298626560.

The previous prime is 75321620603563. The next prime is 75321620603651. The reversal of 75321620603640 is 4630602612357.

75321620603640 is a `hidden beast` number, since 7 + 5 + 3 + 2 + 16 + 20 + 603 + 6 + 4 + 0 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 38375760 + ... + 40290720.

Almost surely, 2^{75321620603640} 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 75321620603640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129617726500080).

75321620603640 is an abundant number, since it is smaller than the sum of its proper divisors (183913832396520).

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

75321620603640 is a wasteful number, since it uses less digits than its factorization.

75321620603640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1921422 (or 1921415 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 75321620603640 in words is "seventy-five trillion, three hundred twenty-one billion, six hundred twenty million, six hundred three thousand, six hundred forty".