5642736067440 has 240 divisors, whose sum is σ = 19679128455168. Its totient is φ = 1502656075008.

The previous prime is 5642736067429. The next prime is 5642736067469. The reversal of 5642736067440 is 447606372465.

5642736067440 is a `hidden beast` number, since 5 + 6 + 4 + 27 + 3 + 606 + 7 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 13933249 + ... + 14332511.

Almost surely, 2^{5642736067440} 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 5642736067440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9839564227584).

5642736067440 is an abundant number, since it is smaller than the sum of its proper divisors (14036392387728).

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

5642736067440 is a wasteful number, since it uses less digits than its factorization.

5642736067440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400018 (or 400000 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 54.

The spelling of 5642736067440 in words is "five trillion, six hundred forty-two billion, seven hundred thirty-six million, sixty-seven thousand, four hundred forty".