6542958240 has 576 divisors, whose sum is σ = 28068768000. Its totient is φ = 1379137536.

The previous prime is 6542958229. The next prime is 6542958251. The reversal of 6542958240 is 428592456.

6542958240 is a `hidden beast` number, since 6 + 5 + 4 + 29 + 582 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (6542958229) and next prime (6542958251).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6420451 + ... + 6421469.

It is an arithmetic number, because the mean of its divisors is an integer number (48730500).

Almost surely, 2^6542958240 is an apocalyptic number.

6542958240 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 6542958240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14034384000).

6542958240 is an abundant number, since it is smaller than the sum of its proper divisors (21525809760).

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

6542958240 is a wasteful number, since it uses less digits than its factorization.

6542958240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 6542958240 is about 80888.5544437530. The cubic root of 6542958240 is about 1870.3578904548.

The spelling of 6542958240 in words is "six billion, five hundred forty-two million, nine hundred fifty-eight thousand, two hundred forty".