6542940672 has 160 divisors (see below), whose sum is σ = 19520804160. Its totient is φ = 2163732480.

The previous prime is 6542940659. The next prime is 6542940689. The reversal of 6542940672 is 2760492456.

6542940672 is a `hidden beast` number, since 6 + 542 + 9 + 40 + 67 + 2 = 666.

It is a super-3 number, since 3×6542940672³ (a number of 30 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1809138 + ... + 1812750.

It is an arithmetic number, because the mean of its divisors is an integer number (122005026).

Almost surely, 2^6542940672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6542940672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9760402080).

6542940672 is an abundant number, since it is smaller than the sum of its proper divisors (12977863488).

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

6542940672 is a wasteful number, since it uses less digits than its factorization.

6542940672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3771 (or 3749 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 6542940672 is about 80888.4458498246. The cubic root of 6542940672 is about 1870.3562164680.

The spelling of 6542940672 in words is "six billion, five hundred forty-two million, nine hundred forty thousand, six hundred seventy-two".