76542257568 has 576 divisors, whose sum is σ = 258689894400. Its totient is φ = 19334246400.

The previous prime is 76542257509. The next prime is 76542257569. The reversal of 76542257568 is 86575224567.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (76542257569) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 506902293 + ... + 506902443.

It is an arithmetic number, because the mean of its divisors is an integer number (449114400).

Almost surely, 2^76542257568 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 76542257568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129344947200).

76542257568 is an abundant number, since it is smaller than the sum of its proper divisors (182147636832).

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

76542257568 is a wasteful number, since it uses less digits than its factorization.

76542257568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 248 counting only the distinct ones).

The product of its digits is 28224000, while the sum is 57.

The spelling of 76542257568 in words is "seventy-six billion, five hundred forty-two million, two hundred fifty-seven thousand, five hundred sixty-eight".