76449325680 has 1440 divisors, whose sum is σ = 350717552640. Its totient is φ = 14735831040.

The previous prime is 76449325651. The next prime is 76449325759. The reversal of 76449325680 is 8652394467.

76449325680 is a `hidden beast` number, since 7 + 6 + 4 + 49 + 32 + 568 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 270138819 + ... + 270139101.

It is an arithmetic number, because the mean of its divisors is an integer number (243553856).

Almost surely, 2^76449325680 is an apocalyptic number.

76449325680 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76449325680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175358776320).

76449325680 is an abundant number, since it is smaller than the sum of its proper divisors (274268226960).

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

76449325680 is a wasteful number, since it uses less digits than its factorization.

76449325680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 76449325680 in words is "seventy-six billion, four hundred forty-nine million, three hundred twenty-five thousand, six hundred eighty".