75142741464 has 384 divisors, whose sum is σ = 247104000000. Its totient is φ = 20595278592.

The previous prime is 75142741463. The next prime is 75142741523. The reversal of 75142741464 is 46414724157.

75142741464 is a `hidden beast` number, since 7 + 5 + 142 + 7 + 41 + 464 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75142741463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 171167757 + ... + 171168195.

It is an arithmetic number, because the mean of its divisors is an integer number (643500000).

Almost surely, 2^75142741464 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 75142741464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123552000000).

75142741464 is an abundant number, since it is smaller than the sum of its proper divisors (171961258536).

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

75142741464 is a wasteful number, since it uses less digits than its factorization.

75142741464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 719 counting only the distinct ones).

The product of its digits is 752640, while the sum is 45.

The spelling of 75142741464 in words is "seventy-five billion, one hundred forty-two million, seven hundred forty-one thousand, four hundred sixty-four".