6350400000000 has 1755 divisors, whose sum is σ = 27584618200887. Its totient is φ = 1451520000000.

The previous prime is 6350399999969. The next prime is 6350400000001. The reversal of 6350400000000 is 40536.

It is a happy number.

The square root of 6350400000000 is 2520000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 4515047018496 + 1835352981504 = 2124864^2 + 1354752^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (6350400000001) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 907199999997 + ... + 907200000003.

Almost surely, 2^{6350400000000} is an apocalyptic number.

6350400000000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

6350400000000 is the 2520000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6350400000000

6350400000000 is an abundant number, since it is smaller than the sum of its proper divisors (21234218200887).

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

6350400000000 is an frugal number, since it uses more digits than its factorization.

6350400000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

Adding to 6350400000000 its reverse (40536), we get a palindrome (6350400040536).

The spelling of 6350400000000 in words is "six trillion, three hundred fifty billion, four hundred million", and thus it is an aban number.