75738610398528 has 1344 divisors, whose sum is σ = 299025654220800. Its totient is φ = 18199459676160.

The previous prime is 75738610398461. The next prime is 75738610398533. The reversal of 75738610398528 is 82589301683757.

75738610398528 is a `hidden beast` number, since 7 + 5 + 7 + 3 + 8 + 6 + 1 + 0 + 3 + 98 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7873850103 + ... + 7873859721.

Almost surely, 2^{75738610398528} 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 75738610398528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149512827110400).

75738610398528 is an abundant number, since it is smaller than the sum of its proper divisors (223287043822272).

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

75738610398528 is a wasteful number, since it uses less digits than its factorization.

75738610398528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9793 (or 9718 counting only the distinct ones).

The product of its (nonzero) digits is 609638400, while the sum is 72.

The spelling of 75738610398528 in words is "seventy-five trillion, seven hundred thirty-eight billion, six hundred ten million, three hundred ninety-eight thousand, five hundred twenty-eight".