676780388640 has 336 divisors, whose sum is σ = 2474587535616. Its totient is φ = 174652070400.

The previous prime is 676780388633. The next prime is 676780388653. The reversal of 676780388640 is 46883087676.

676780388640 is a `hidden beast` number, since 67 + 67 + 80 + 388 + 64 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3522255 + ... + 3709425.

It is an arithmetic number, because the mean of its divisors is an integer number (7364843856).

Almost surely, 2^676780388640 is an apocalyptic number.

676780388640 is a gapful number since it is divisible by the number (60) 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 676780388640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237293767808).

676780388640 is an abundant number, since it is smaller than the sum of its proper divisors (1797807146976).

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

676780388640 is a wasteful number, since it uses less digits than its factorization.

676780388640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187235 (or 187212 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 676780388640 in words is "six hundred seventy-six billion, seven hundred eighty million, three hundred eighty-eight thousand, six hundred forty".