676100946966048 has 144 divisors (see below), whose sum is σ = 1928937357763416. Its totient is φ = 224632119767040.

The previous prime is 676100946966041. The next prime is 676100946966091. The reversal of 676100946966048 is 840669649001676.

676100946966048 is a `hidden beast` number, since 6 + 7 + 6 + 1 + 0 + 0 + 9 + 4 + 6 + 9 + 6 + 604 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 674099593511184 + 2001353454864 = 25963428^2 + 1414692^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×676100946966048² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (676100946966041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 183048186 + ... + 186705222.

Almost surely, 2^{676100946966048} 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 676100946966048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964468678881708).

676100946966048 is an abundant number, since it is smaller than the sum of its proper divisors (1252836410797368).

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

676100946966048 is a wasteful number, since it uses less digits than its factorization.

676100946966048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3659147 (or 3659136 counting only the distinct ones).

The product of its (nonzero) digits is 564350976, while the sum is 72.

The spelling of 676100946966048 in words is "six hundred seventy-six trillion, one hundred billion, nine hundred forty-six million, nine hundred sixty-six thousand, forty-eight".