4534673205960 has 256 divisors, whose sum is σ = 15938008416000. Its totient is φ = 1143666708480.

The previous prime is 4534673205893. The next prime is 4534673205977. The reversal of 4534673205960 is 695023764354.

4534673205960 is a `hidden beast` number, since 4 + 5 + 3 + 46 + 7 + 3 + 2 + 0 + 596 + 0 = 666.

It is a super-2 number, since 2×4534673205960² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4534673205897 and 4534673205906.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11982030 + ... + 12354690.

It is an arithmetic number, because the mean of its divisors is an integer number (62257845375).

Almost surely, 2^{4534673205960} is an apocalyptic number.

4534673205960 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 4534673205960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7969004208000).

4534673205960 is an abundant number, since it is smaller than the sum of its proper divisors (11403335210040).

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

4534673205960 is a wasteful number, since it uses less digits than its factorization.

4534673205960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373293 (or 373283 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 54.

The spelling of 4534673205960 in words is "four trillion, five hundred thirty-four billion, six hundred seventy-three million, two hundred five thousand, nine hundred sixty".