76670446320 has 480 divisors, whose sum is σ = 289606196160. Its totient is φ = 18865446912.

The previous prime is 76670446261. The next prime is 76670446327. The reversal of 76670446320 is 2364407667.

76670446320 is a `hidden beast` number, since 7 + 6 + 6 + 7 + 0 + 4 + 4 + 632 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76670446327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29566944 + ... + 29569536.

It is an arithmetic number, because the mean of its divisors is an integer number (603346242).

Almost surely, 2^76670446320 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 76670446320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144803098080).

76670446320 is an abundant number, since it is smaller than the sum of its proper divisors (212935749840).

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

76670446320 is a wasteful number, since it uses less digits than its factorization.

76670446320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2653 (or 2616 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 76670446320 in words is "seventy-six billion, six hundred seventy million, four hundred forty-six thousand, three hundred twenty".