543742308648 has 960 divisors, whose sum is σ = 1992679032960. Its totient is φ = 135489024000.

The previous prime is 543742308631. The next prime is 543742308653. The reversal of 543742308648 is 846803247345.

543742308648 is a `hidden beast` number, since 543 + 7 + 4 + 2 + 30 + 8 + 64 + 8 = 666.

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 = 543742308594 and 543742308603.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1642725843 + ... + 1642726173.

It is an arithmetic number, because the mean of its divisors is an integer number (2075707326).

Almost surely, 2^543742308648 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 543742308648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996339516480).

543742308648 is an abundant number, since it is smaller than the sum of its proper divisors (1448936724312).

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

543742308648 is a wasteful number, since it uses less digits than its factorization.

543742308648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 543742308648 in words is "five hundred forty-three billion, seven hundred forty-two million, three hundred eight thousand, six hundred forty-eight".