677844873888 has 288 divisors, whose sum is σ = 2289331449216. Its totient is φ = 170998401024.

The previous prime is 677844873883. The next prime is 677844873907. The reversal of 677844873888 is 888378448776.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (677844873883) 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, 4548006 + ... + 4694682.

It is an arithmetic number, because the mean of its divisors is an integer number (7949067532).

Almost surely, 2^677844873888 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 677844873888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1144665724608).

677844873888 is an abundant number, since it is smaller than the sum of its proper divisors (1611486575328).

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

677844873888 is a wasteful number, since it uses less digits than its factorization.

677844873888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146756 (or 146725 counting only the distinct ones).

The product of its digits is 3236954112, while the sum is 78.

The spelling of 677844873888 in words is "six hundred seventy-seven billion, eight hundred forty-four million, eight hundred seventy-three thousand, eight hundred eighty-eight".