4676423641344 has 864 divisors, whose sum is σ = 16793393460480. Its totient is φ = 1218690220032.

The previous prime is 4676423641321. The next prime is 4676423641361. The reversal of 4676423641344 is 4431463246764.

4676423641344 is a `hidden beast` number, since 4 + 6 + 7 + 64 + 236 + 4 + 1 + 344 = 666.

It is a super-2 number, since 2×4676423641344² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8306258407 + ... + 8306258969.

Almost surely, 2^{4676423641344} 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 4676423641344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8396696730240).

4676423641344 is an abundant number, since it is smaller than the sum of its proper divisors (12116969819136).

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

4676423641344 is a wasteful number, since it uses less digits than its factorization.

4676423641344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 990 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 54.

The spelling of 4676423641344 in words is "four trillion, six hundred seventy-six billion, four hundred twenty-three million, six hundred forty-one thousand, three hundred forty-four".