6400925440 has 288 divisors, whose sum is σ = 19037652480. Its totient is φ = 2007908352.

The previous prime is 6400925429. The next prime is 6400925491. The reversal of 6400925440 is 445290046.

It is a junction number, because it is equal to n+sod(n) for n = 6400925396 and 6400925405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20849767 + ... + 20850073.

It is an arithmetic number, because the mean of its divisors is an integer number (66102960).

Almost surely, 2^6400925440 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 6400925440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9518826240).

6400925440 is an abundant number, since it is smaller than the sum of its proper divisors (12636727040).

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

6400925440 is a wasteful number, since it uses less digits than its factorization.

6400925440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 513 counting only the distinct ones).

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

The square root of 6400925440 is about 80005.7837909235. The cubic root of 6400925440 is about 1856.7250189648.

The spelling of 6400925440 in words is "six billion, four hundred million, nine hundred twenty-five thousand, four hundred forty".