6500612622400 has 168 divisors, whose sum is σ = 17229184596680. Its totient is φ = 2399782256640.

The previous prime is 6500612622349. The next prime is 6500612622401. The reversal of 6500612622400 is 42262160056.

It can be written as a sum of positive squares in 12 ways, for example, as 3731263995904 + 2769348626496 = 1931648^2 + 1664136^2 .

It is not an unprimeable number, because it can be changed into a prime (6500612622401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125543716 + ... + 125595484.

Almost surely, 2^{6500612622400} 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 6500612622400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8614592298340).

6500612622400 is an abundant number, since it is smaller than the sum of its proper divisors (10728571974280).

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

6500612622400 is a wasteful number, since it uses less digits than its factorization.

6500612622400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57841 (or 57826 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

Adding to 6500612622400 its reverse (42262160056), we get a palindrome (6542874782456).

The spelling of 6500612622400 in words is "six trillion, five hundred billion, six hundred twelve million, six hundred twenty-two thousand, four hundred".