674977779476 has 288 divisors, whose sum is σ = 1683993991680. Its totient is φ = 234344436480.

The previous prime is 674977779457. The next prime is 674977779479.

674977779476 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 674977779476.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (674977779479) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 98346821 + ... + 98353683.

It is an arithmetic number, because the mean of its divisors is an integer number (5847201360).

Almost surely, 2^674977779476 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 674977779476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841996995840).

674977779476 is an abundant number, since it is smaller than the sum of its proper divisors (1009016212204).

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

674977779476 is a wasteful number, since it uses less digits than its factorization.

674977779476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6956 (or 6925 counting only the distinct ones).

The product of its digits is 5489031744, while the sum is 80.

The spelling of 674977779476 in words is "six hundred seventy-four billion, nine hundred seventy-seven million, seven hundred seventy-nine thousand, four hundred seventy-six".