6336461871540 has 288 divisors, whose sum is σ = 20014656270336. Its totient is φ = 1682768545920.

The previous prime is 6336461871529. The next prime is 6336461871569. The reversal of 6336461871540 is 451781646336.

6336461871540 is a `hidden beast` number, since 6 + 3 + 3 + 6 + 4 + 618 + 7 + 15 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 2096082469 + ... + 2096085491.

It is an arithmetic number, because the mean of its divisors is an integer number (69495334272).

Almost surely, 2^{6336461871540} is an apocalyptic number.

6336461871540 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 6336461871540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10007328135168).

6336461871540 is an abundant number, since it is smaller than the sum of its proper divisors (13678194398796).

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

6336461871540 is a wasteful number, since it uses less digits than its factorization.

6336461871540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4681 (or 4667 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 6336461871540 in words is "six trillion, three hundred thirty-six billion, four hundred sixty-one million, eight hundred seventy-one thousand, five hundred forty".