6400037520 has 240 divisors, whose sum is σ = 22691672640. Its totient is φ = 1612071936.

The previous prime is 6400037503. The next prime is 6400037533. The reversal of 6400037520 is 257300046.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8029762 + ... + 8030558.

It is an arithmetic number, because the mean of its divisors is an integer number (94548636).

Almost surely, 2^6400037520 is an apocalyptic number.

6400037520 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 6400037520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11345836320).

6400037520 is an abundant number, since it is smaller than the sum of its proper divisors (16291635120).

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

6400037520 is a wasteful number, since it uses less digits than its factorization.

6400037520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422 (or 1413 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 6400037520 is about 80000.2344996563. The cubic root of 6400037520 is about 1856.6391616133.

Adding to 6400037520 its reverse (257300046), we get a palindrome (6657337566).

The spelling of 6400037520 in words is "six billion, four hundred million, thirty-seven thousand, five hundred twenty".