5642278266240 has 1024 divisors, whose sum is σ = 24953266944000. Its totient is φ = 1170572083200.

The previous prime is 5642278266223. The next prime is 5642278266241. The reversal of 5642278266240 is 426628722465.

5642278266240 is a `hidden beast` number, since 5 + 6 + 4 + 2 + 2 + 7 + 8 + 2 + 6 + 624 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5642278266241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 943364050 + ... + 943370030.

It is an arithmetic number, because the mean of its divisors is an integer number (24368424750).

Almost surely, 2^{5642278266240} 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 5642278266240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12476633472000).

5642278266240 is an abundant number, since it is smaller than the sum of its proper divisors (19310988677760).

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

5642278266240 is a wasteful number, since it uses less digits than its factorization.

5642278266240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6736 (or 6718 counting only the distinct ones).

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

The spelling of 5642278266240 in words is "five trillion, six hundred forty-two billion, two hundred seventy-eight million, two hundred sixty-six thousand, two hundred forty".