6542758320 has 480 divisors, whose sum is σ = 24720132096. Its totient is φ = 1425715200.

The previous prime is 6542758309. The next prime is 6542758337. The reversal of 6542758320 is 238572456.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 47757292 + ... + 47757428.

Almost surely, 2^6542758320 is an apocalyptic number.

6542758320 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 6542758320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12360066048).

6542758320 is an abundant number, since it is smaller than the sum of its proper divisors (18177373776).

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

6542758320 is a wasteful number, since it uses less digits than its factorization.

6542758320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The square root of 6542758320 is about 80887.3186599729. The cubic root of 6542758320 is about 1870.3388406741.

The spelling of 6542758320 in words is "six billion, five hundred forty-two million, seven hundred fifty-eight thousand, three hundred twenty".