676638842880 has 896 divisors, whose sum is σ = 2907532164096. Its totient is φ = 129761280000.

The previous prime is 676638842843. The next prime is 676638842881. The reversal of 676638842880 is 88248836676.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (676638842881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 123000130 + ... + 123005630.

It is an arithmetic number, because the mean of its divisors is an integer number (3245013576).

Almost surely, 2^676638842880 is an apocalyptic number.

676638842880 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 676638842880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453766082048).

676638842880 is an abundant number, since it is smaller than the sum of its proper divisors (2230893321216).

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

676638842880 is a wasteful number, since it uses less digits than its factorization.

676638842880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5566 (or 5542 counting only the distinct ones).

The product of its (nonzero) digits is 148635648, while the sum is 66.

The spelling of 676638842880 in words is "six hundred seventy-six billion, six hundred thirty-eight million, eight hundred forty-two thousand, eight hundred eighty".