4674895672320 has 704 divisors, whose sum is σ = 16838775279360. Its totient is φ = 1229857357824.

The previous prime is 4674895672267. The next prime is 4674895672327. The reversal of 4674895672320 is 232765984764.

4674895672320 is a `hidden beast` number, since 4 + 6 + 7 + 48 + 9 + 567 + 2 + 3 + 20 = 666.

It is a super-3 number, since 3×4674895672320³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4674895672327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4688962062 + ... + 4688963058.

Almost surely, 2^{4674895672320} is an apocalyptic number.

4674895672320 is a gapful number since it is divisible by the number (40) 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 4674895672320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8419387639680).

4674895672320 is an abundant number, since it is smaller than the sum of its proper divisors (12163879607040).

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

4674895672320 is a wasteful number, since it uses less digits than its factorization.

4674895672320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1455 (or 1431 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 4674895672320 in words is "four trillion, six hundred seventy-four billion, eight hundred ninety-five million, six hundred seventy-two thousand, three hundred twenty".