674775577476 has 288 divisors, whose sum is σ = 2424864169728. Its totient is φ = 152267489280.

The previous prime is 674775577439. The next prime is 674775577477.

674775577476 is a `hidden beast` number, since 6 + 7 + 4 + 7 + 7 + 5 + 577 + 47 + 6 = 666.

674775577476 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (674775577477) 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, 61876 + ... + 1163348.

It is an arithmetic number, because the mean of its divisors is an integer number (8419667256).

Almost surely, 2^674775577476 is an apocalyptic number.

674775577476 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 674775577476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1212432084864).

674775577476 is an abundant number, since it is smaller than the sum of its proper divisors (1750088592252).

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

674775577476 is a wasteful number, since it uses less digits than its factorization.

674775577476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101531 (or 1101526 counting only the distinct ones).

The product of its digits is 1694145600, while the sum is 72.

The spelling of 674775577476 in words is "six hundred seventy-four billion, seven hundred seventy-five million, five hundred seventy-seven thousand, four hundred seventy-six".