6205784064480 has 3840 divisors, whose sum is σ = 32796473149440. Its totient is φ = 1060621516800.

The previous prime is 6205784064439. The next prime is 6205784064481. The reversal of 6205784064480 is 844604875026.

It is a happy number.

6205784064480 is a `hidden beast` number, since 6 + 2 + 0 + 578 + 4 + 0 + 64 + 4 + 8 + 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 not an unprimeable number, because it can be changed into a prime (6205784064481) by changing a digit.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 4190265340 + ... + 4190266820.

It is an arithmetic number, because the mean of its divisors is an integer number (8540748216).

Almost surely, 2^{6205784064480} is an apocalyptic number.

6205784064480 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 6205784064480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16398236574720).

6205784064480 is an abundant number, since it is smaller than the sum of its proper divisors (26590689084960).

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

6205784064480 is a wasteful number, since it uses less digits than its factorization.

6205784064480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1575 (or 1558 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 6205784064480 in words is "six trillion, two hundred five billion, seven hundred eighty-four million, sixty-four thousand, four hundred eighty".