76677522303648 has 288 divisors, whose sum is σ = 241941036492288. Its totient is φ = 21179418624000.

The previous prime is 76677522303589. The next prime is 76677522303649. The reversal of 76677522303648 is 84630322577667.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (76677522303649) 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, 142200948 + ... + 142739148.

It is an arithmetic number, because the mean of its divisors is an integer number (840073043376).

Almost surely, 2^{76677522303648} 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 76677522303648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120970518246144).

76677522303648 is an abundant number, since it is smaller than the sum of its proper divisors (165263514188640).

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

76677522303648 is a wasteful number, since it uses less digits than its factorization.

76677522303648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539236 (or 539221 counting only the distinct ones).

The product of its (nonzero) digits is 426746880, while the sum is 66.

The spelling of 76677522303648 in words is "seventy-six trillion, six hundred seventy-seven billion, five hundred twenty-two million, three hundred three thousand, six hundred forty-eight".