674667766476 has 288 divisors, whose sum is σ = 1902688220160. Its totient is φ = 199874304000.

The previous prime is 674667766291. The next prime is 674667766499.

674667766476 is a `hidden beast` number, since 67 + 466 + 7 + 7 + 66 + 47 + 6 = 666.

674667766476 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1558123956 + ... + 1558124388.

It is an arithmetic number, because the mean of its divisors is an integer number (6606556320).

Almost surely, 2^674667766476 is an apocalyptic number.

674667766476 is a gapful number since it is divisible by the number (66) 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 674667766476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951344110080).

674667766476 is an abundant number, since it is smaller than the sum of its proper divisors (1228020453684).

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

674667766476 is a wasteful number, since it uses less digits than its factorization.

674667766476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 952 counting only the distinct ones).

The product of its digits is 1792336896, while the sum is 72.

The spelling of 674667766476 in words is "six hundred seventy-four billion, six hundred sixty-seven million, seven hundred sixty-six thousand, four hundred seventy-six".