6410540448 has 288 divisors, whose sum is σ = 20737442880. Its totient is φ = 1924715520.

The previous prime is 6410540401. The next prime is 6410540467. The reversal of 6410540448 is 8440450146.

It is a happy number.

6410540448 is a `hidden beast` number, since 64 + 10 + 540 + 4 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6278178 + ... + 6279198.

It is an arithmetic number, because the mean of its divisors is an integer number (72005010).

Almost surely, 2^6410540448 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 6410540448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10368721440).

6410540448 is an abundant number, since it is smaller than the sum of its proper divisors (14326902432).

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

6410540448 is a wasteful number, since it uses less digits than its factorization.

6410540448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 6410540448 is about 80065.8506980348. The cubic root of 6410540448 is about 1857.6542332716.

The spelling of 6410540448 in words is "six billion, four hundred ten million, five hundred forty thousand, four hundred forty-eight".