4672005854544 has 600 divisors, whose sum is σ = 17277726565440. Its totient is φ = 1209613160448.

The previous prime is 4672005854531. The next prime is 4672005854623. The reversal of 4672005854544 is 4454585002764.

4672005854544 is a `hidden beast` number, since 4 + 6 + 7 + 2 + 0 + 0 + 58 + 545 + 44 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 27667072 + ... + 27835424.

Almost surely, 2^{4672005854544} 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 4672005854544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8638863282720).

4672005854544 is an abundant number, since it is smaller than the sum of its proper divisors (12605720710896).

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

4672005854544 is a wasteful number, since it uses less digits than its factorization.

4672005854544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168429 (or 168407 counting only the distinct ones).

The product of its (nonzero) digits is 21504000, while the sum is 54.

The spelling of 4672005854544 in words is "four trillion, six hundred seventy-two billion, five million, eight hundred fifty-four thousand, five hundred forty-four".