5642322737400 has 960 divisors, whose sum is σ = 21139831785600. Its totient is φ = 1390486901760.

The previous prime is 5642322737281. The next prime is 5642322737407. The reversal of 5642322737400 is 47372232465.

5642322737400 is a `hidden beast` number, since 5 + 6 + 4 + 232 + 2 + 7 + 3 + 7 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5642322737407) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2206616922 + ... + 2206619478.

It is an arithmetic number, because the mean of its divisors is an integer number (22020658110).

Almost surely, 2^{5642322737400} is an apocalyptic number.

5642322737400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5642322737400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10569915892800).

5642322737400 is an abundant number, since it is smaller than the sum of its proper divisors (15497509048200).

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

5642322737400 is a wasteful number, since it uses less digits than its factorization.

5642322737400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2778 (or 2760 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 45.

Adding to 5642322737400 its reverse (47372232465), we get a palindrome (5689694969865).

The spelling of 5642322737400 in words is "five trillion, six hundred forty-two billion, three hundred twenty-two million, seven hundred thirty-seven thousand, four hundred".