6534771840 has 576 divisors, whose sum is σ = 24946833600. Its totient is φ = 1571512320.

The previous prime is 6534771829. The next prime is 6534771847. The reversal of 6534771840 is 481774356.

6534771840 is a `hidden beast` number, since 6 + 534 + 7 + 71 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 (6534771847) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 92039005 + ... + 92039075.

It is an arithmetic number, because the mean of its divisors is an integer number (43310475).

Almost surely, 2^6534771840 is an apocalyptic number.

6534771840 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 6534771840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12473416800).

6534771840 is an abundant number, since it is smaller than the sum of its proper divisors (18412061760).

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

6534771840 is a wasteful number, since it uses less digits than its factorization.

6534771840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 6534771840 is about 80837.9356490503. The cubic root of 6534771840 is about 1869.5775152018.

The spelling of 6534771840 in words is "six billion, five hundred thirty-four million, seven hundred seventy-one thousand, eight hundred forty".