543742472636640 has 288 divisors, whose sum is σ = 1866784809576960. Its totient is φ = 144117949565952.

The previous prime is 543742472636527. The next prime is 543742472636651. The reversal of 543742472636640 is 46636274247345.

543742472636640 is a `hidden beast` number, since 5 + 4 + 3 + 7 + 4 + 2 + 472 + 63 + 66 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3164390407 + ... + 3164562233.

It is an arithmetic number, because the mean of its divisors is an integer number (6481891699920).

Almost surely, 2^{543742472636640} 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 543742472636640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933392404788480).

543742472636640 is an abundant number, since it is smaller than the sum of its proper divisors (1323042336940320).

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

543742472636640 is a wasteful number, since it uses less digits than its factorization.

543742472636640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185174 (or 185163 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 63.

The spelling of 543742472636640 in words is "five hundred forty-three trillion, seven hundred forty-two billion, four hundred seventy-two million, six hundred thirty-six thousand, six hundred forty".