6538371840 has 1512 divisors, whose sum is σ = 32090497488. Its totient is φ = 1254113280.

The previous prime is 6538371839. The next prime is 6538371857. The reversal of 6538371840 is 481738356.

6538371840 is a `hidden beast` number, since 6 + 538 + 3 + 71 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

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 167 ways as a sum of consecutive naturals, for example, 502951674 + ... + 502951686.

It is an arithmetic number, because the mean of its divisors is an integer number (21223874).

Almost surely, 2^6538371840 is an apocalyptic number.

6538371840 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 6538371840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16045248744).

6538371840 is an abundant number, since it is smaller than the sum of its proper divisors (25552125648).

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

6538371840 is a wasteful number, since it uses less digits than its factorization.

6538371840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 6538371840 is about 80860.1993566674. The cubic root of 6538371840 is about 1869.9207683742.

The spelling of 6538371840 in words is "six billion, five hundred thirty-eight million, three hundred seventy-one thousand, eight hundred forty".