76307422464 has 1080 divisors, whose sum is σ = 293086359720. Its totient is φ = 19564167168.

The previous prime is 76307422463. The next prime is 76307422481. The reversal of 76307422464 is 46422470367.

76307422464 is a `hidden beast` number, since 7 + 630 + 7 + 4 + 2 + 2 + 4 + 6 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12294374400 + 64013048064 = 110880^2 + 253008^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76307422463) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 700068042 + ... + 700068150.

It is an arithmetic number, because the mean of its divisors is an integer number (271376259).

Almost surely, 2^76307422464 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 76307422464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146543179860).

76307422464 is an abundant number, since it is smaller than the sum of its proper divisors (216778937256).

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

76307422464 is a wasteful number, since it uses less digits than its factorization.

76307422464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 45.

The spelling of 76307422464 in words is "seventy-six billion, three hundred seven million, four hundred twenty-two thousand, four hundred sixty-four".