76048525728 has 288 divisors, whose sum is σ = 257473157760. Its totient is φ = 21629721600.

The previous prime is 76048525727. The next prime is 76048525759. The reversal of 76048525728 is 82752584067.

76048525728 is a `hidden beast` number, since 7 + 6 + 0 + 48 + 525 + 72 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (76048525727) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12461878 + ... + 12467978.

It is an arithmetic number, because the mean of its divisors is an integer number (894004020).

Almost surely, 2^76048525728 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 76048525728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128736578880).

76048525728 is an abundant number, since it is smaller than the sum of its proper divisors (181424632032).

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

76048525728 is a wasteful number, since it uses less digits than its factorization.

76048525728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6362 (or 6342 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 76048525728 in words is "seventy-six billion, forty-eight million, five hundred twenty-five thousand, seven hundred twenty-eight".