6213471460560 has 720 divisors, whose sum is σ = 25811560704384. Its totient is φ = 1304411019264.

The previous prime is 6213471460529. The next prime is 6213471460561. The reversal of 6213471460560 is 650641743126.

6213471460560 is a `hidden beast` number, since 6 + 2 + 1 + 3 + 47 + 1 + 46 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6213471460561) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3258243127 + ... + 3258245033.

Almost surely, 2^{6213471460560} is an apocalyptic number.

6213471460560 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 6213471460560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12905780352192).

6213471460560 is an abundant number, since it is smaller than the sum of its proper divisors (19598089243824).

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

6213471460560 is a wasteful number, since it uses less digits than its factorization.

6213471460560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2392 (or 2160 counting only the distinct ones).

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

It can be divided in two parts, 6213471 and 460560, that added together give a triangular number (6674031 = T₃₆₅₃).

The spelling of 6213471460560 in words is "six trillion, two hundred thirteen billion, four hundred seventy-one million, four hundred sixty thousand, five hundred sixty".