476545424545674 has 288 divisors, whose sum is σ = 1174900292774208. Its totient is φ = 139386511756800.

The previous prime is 476545424545627. The next prime is 476545424545681.

476545424545674 is a `hidden beast` number, since 4 + 7 + 6 + 5 + 4 + 5 + 4 + 2 + 4 + 54 + 567 + 4 = 666.

476545424545674 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×476545424545674² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5140292829 + ... + 5140385535.

It is an arithmetic number, because the mean of its divisors is an integer number (4079514905466).

Almost surely, 2^{476545424545674} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 476545424545674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587450146387104).

476545424545674 is an abundant number, since it is smaller than the sum of its proper divisors (698354868228534).

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

476545424545674 is a wasteful number, since it uses less digits than its factorization.

476545424545674 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93282 (or 93268 counting only the distinct ones).

The product of its digits is 9031680000, while the sum is 72.

The spelling of 476545424545674 in words is "four hundred seventy-six trillion, five hundred forty-five billion, four hundred twenty-four million, five hundred forty-five thousand, six hundred seventy-four".