6501146400 has 1152 divisors, whose sum is σ = 29598105600. Its totient is φ = 1343692800.

The previous prime is 6501146389. The next prime is 6501146401. The reversal of 6501146400 is 46411056.

6501146400 is a `hidden beast` number, since 6 + 5 + 0 + 1 + 14 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (6501146401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 89056764 + ... + 89056836.

It is an arithmetic number, because the mean of its divisors is an integer number (25692800).

Almost surely, 2^6501146400 is an apocalyptic number.

6501146400 is a gapful number since it is divisible by the number (60) 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 6501146400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14799052800).

6501146400 is an abundant number, since it is smaller than the sum of its proper divisors (23096959200).

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

6501146400 is a wasteful number, since it uses less digits than its factorization.

6501146400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 6501146400 is about 80629.6868405180. The cubic root of 6501146400 is about 1866.3652886460.

Adding to 6501146400 its reverse (46411056), we get a palindrome (6547557456).

The spelling of 6501146400 in words is "six billion, five hundred one million, one hundred forty-six thousand, four hundred".