6460400400 has 120 divisors (see below), whose sum is σ = 20746990560. Its totient is φ = 1718430720.

The previous prime is 6460400399. The next prime is 6460400407. The reversal of 6460400400 is 40040646.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (6460400407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 484219 + ... + 497381.

It is an arithmetic number, because the mean of its divisors is an integer number (172891588).

Almost surely, 2^6460400400 is an apocalyptic number.

6460400400 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 6460400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10373495280).

6460400400 is an abundant number, since it is smaller than the sum of its proper divisors (14286590160).

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

6460400400 is a wasteful number, since it uses less digits than its factorization.

6460400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13593 (or 13582 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 6460400400 is about 80376.6160024170. The cubic root of 6460400400 is about 1862.4579598036.

The spelling of 6460400400 in words is "six billion, four hundred sixty million, four hundred thousand, four hundred".