76569745152 has 288 divisors, whose sum is σ = 220490629632. Its totient is φ = 23503306752.

The previous prime is 76569745141. The next prime is 76569745157. The reversal of 76569745152 is 25154796567.

It is a junction number, because it is equal to n+sod(n) for n = 76569745092 and 76569745101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76569745157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130442203 + ... + 130442789.

It is an arithmetic number, because the mean of its divisors is an integer number (765592464).

Almost surely, 2^76569745152 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 76569745152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110245314816).

76569745152 is an abundant number, since it is smaller than the sum of its proper divisors (143920884480).

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

76569745152 is a wasteful number, since it uses less digits than its factorization.

76569745152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 809 counting only the distinct ones).

The product of its digits is 15876000, while the sum is 57.

The spelling of 76569745152 in words is "seventy-six billion, five hundred sixty-nine million, seven hundred forty-five thousand, one hundred fifty-two".