6178223600640 has 2112 divisors, whose sum is σ = 27561223033344. Its totient is φ = 1292238323712.

The previous prime is 6178223600597. The next prime is 6178223600641. The reversal of 6178223600640 is 460063228716.

6178223600640 is a `hidden beast` number, since 6 + 17 + 8 + 2 + 23 + 600 + 6 + 4 + 0 = 666.

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 (6178223600641) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22304056182 + ... + 22304056458.

It is an arithmetic number, because the mean of its divisors is an integer number (13049821512).

Almost surely, 2^{6178223600640} is an apocalyptic number.

6178223600640 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 6178223600640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13780611516672).

6178223600640 is an abundant number, since it is smaller than the sum of its proper divisors (21382999432704).

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

6178223600640 is a wasteful number, since it uses less digits than its factorization.

6178223600640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 6178223600640 in words is "six trillion, one hundred seventy-eight billion, two hundred twenty-three million, six hundred thousand, six hundred forty".