6543959040 has 528 divisors, whose sum is σ = 24141499200. Its totient is φ = 1636368384.

The previous prime is 6543959029. The next prime is 6543959041. The reversal of 6543959040 is 409593456.

6543959040 is a `hidden beast` number, since 6 + 54 + 3 + 9 + 590 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (6543959041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78842839 + ... + 78842921.

Almost surely, 2^6543959040 is an apocalyptic number.

6543959040 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 6543959040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12070749600).

6543959040 is an abundant number, since it is smaller than the sum of its proper divisors (17597540160).

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

6543959040 is a wasteful number, since it uses less digits than its factorization.

6543959040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 6543959040 is about 80894.7404965242. The cubic root of 6543959040 is about 1870.4532478695.

The spelling of 6543959040 in words is "six billion, five hundred forty-three million, nine hundred fifty-nine thousand, forty".