677252841888 has 384 divisors, whose sum is σ = 2230022430720. Its totient is φ = 175477800960.

The previous prime is 677252841887. The next prime is 677252841929. The reversal of 677252841888 is 888148252776.

It is a happy number.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (677252841883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 186517833 + ... + 186521463.

It is an arithmetic number, because the mean of its divisors is an integer number (5807350080).

Almost surely, 2^677252841888 is an apocalyptic number.

677252841888 is a gapful number since it is divisible by the number (68) 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 677252841888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1115011215360).

677252841888 is an abundant number, since it is smaller than the sum of its proper divisors (1552769588832).

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

677252841888 is a wasteful number, since it uses less digits than its factorization.

677252841888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4260 (or 4252 counting only the distinct ones).

The product of its digits is 96337920, while the sum is 66.

The spelling of 677252841888 in words is "six hundred seventy-seven billion, two hundred fifty-two million, eight hundred forty-one thousand, eight hundred eighty-eight".