6534187920 has 160 divisors (see below), whose sum is σ = 24238032000. Its totient is φ = 1608408576.

The previous prime is 6534187883. The next prime is 6534187943. The reversal of 6534187920 is 297814356.

6534187920 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6534187920² = 85391223547747852800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

6534187920 is strictly pandigital in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88270 + ... + 144429.

It is an arithmetic number, because the mean of its divisors is an integer number (151487700).

It is a 1-persistent number, because it is pandigital, but 2⋅6534187920 = 13068375840 is not.

Almost surely, 2^6534187920 is an apocalyptic number.

6534187920 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6534187920 is an abundant number, since it is smaller than the sum of its proper divisors (17703844080).

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

6534187920 is a wasteful number, since it uses less digits than its factorization.

6534187920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232734 (or 232722 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 6534187920 is about 80834.3238977107. The cubic root of 6534187920 is about 1869.5218276559.

The spelling of 6534187920 in words is "six billion, five hundred thirty-four million, one hundred eighty-seven thousand, nine hundred twenty".