677675829024 has 144 divisors (see below), whose sum is σ = 2038766184000. Its totient is φ = 212927159808.

The previous prime is 677675829011. The next prime is 677675829079. The reversal of 677675829024 is 420928576776.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 777762 + ... + 1400094.

It is an arithmetic number, because the mean of its divisors is an integer number (14158098500).

Almost surely, 2^677675829024 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 677675829024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1019383092000).

677675829024 is an abundant number, since it is smaller than the sum of its proper divisors (1361090354976).

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

677675829024 is a wasteful number, since it uses less digits than its factorization.

677675829024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622567 (or 622556 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 677675829024 in words is "six hundred seventy-seven billion, six hundred seventy-five million, eight hundred twenty-nine thousand, twenty-four".