677954612960 has 96 divisors (see below), whose sum is σ = 1671581136960. Its totient is φ = 259348553728.

The previous prime is 677954612911. The next prime is 677954612969. The reversal of 677954612960 is 69216459776.

It is a junction number, because it is equal to n+sod(n) for n = 677954612893 and 677954612902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677954612969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30786914 + ... + 30808926.

It is an arithmetic number, because the mean of its divisors is an integer number (17412303510).

Almost surely, 2^677954612960 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 677954612960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835790568480).

677954612960 is an abundant number, since it is smaller than the sum of its proper divisors (993626524000).

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

677954612960 is a wasteful number, since it uses less digits than its factorization.

677954612960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30420 (or 30412 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 62.

The spelling of 677954612960 in words is "six hundred seventy-seven billion, nine hundred fifty-four million, six hundred twelve thousand, nine hundred sixty".