75152740930560 has 704 divisors, whose sum is σ = 268132504124160. Its totient is φ = 19961891389440.

The previous prime is 75152740930541. The next prime is 75152740930609. The reversal of 75152740930560 is 6503904725157.

It is a happy number.

75152740930560 is a `hidden beast` number, since 7 + 5 + 1 + 5 + 2 + 7 + 40 + 9 + 30 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 75152740930497 and 75152740930506.

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 63 ways as a sum of consecutive naturals, for example, 68758225374 + ... + 68758226466.

Almost surely, 2^{75152740930560} 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 75152740930560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134066252062080).

75152740930560 is an abundant number, since it is smaller than the sum of its proper divisors (192979763193600).

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

75152740930560 is a wasteful number, since it uses less digits than its factorization.

75152740930560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2631 (or 2607 counting only the distinct ones).

The product of its (nonzero) digits is 7938000, while the sum is 54.

The spelling of 75152740930560 in words is "seventy-five trillion, one hundred fifty-two billion, seven hundred forty million, nine hundred thirty thousand, five hundred sixty".