6400254960 has 320 divisors, whose sum is σ = 24208450560. Its totient is φ = 1541329920.

The previous prime is 6400254929. The next prime is 6400254997. The reversal of 6400254960 is 694520046.

6400254960 is a `hidden beast` number, since 640 + 0 + 2 + 5 + 4 + 9 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3967114 + ... + 3968726.

It is an arithmetic number, because the mean of its divisors is an integer number (75651408).

Almost surely, 2^6400254960 is an apocalyptic number.

6400254960 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 6400254960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12104225280).

6400254960 is an abundant number, since it is smaller than the sum of its proper divisors (17808195600).

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

6400254960 is a wasteful number, since it uses less digits than its factorization.

6400254960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1813 (or 1801 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 6400254960 is about 80001.5934841301. The cubic root of 6400254960 is about 1856.6601876904.

The spelling of 6400254960 in words is "six billion, four hundred million, two hundred fifty-four thousand, nine hundred sixty".