6612145624260 has 288 divisors, whose sum is σ = 22700698675200. Its totient is φ = 1602228781440.

The previous prime is 6612145624237. The next prime is 6612145624261. The reversal of 6612145624260 is 624265412166.

6612145624260 is a `hidden beast` number, since 6 + 6 + 1 + 2 + 14 + 5 + 624 + 2 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (6612145624261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 125016501 + ... + 125069379.

It is an arithmetic number, because the mean of its divisors is an integer number (78821870400).

Almost surely, 2^{6612145624260} is an apocalyptic number.

6612145624260 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 6612145624260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11350349337600).

6612145624260 is an abundant number, since it is smaller than the sum of its proper divisors (16088553050940).

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

6612145624260 is a wasteful number, since it uses less digits than its factorization.

6612145624260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55253 (or 55239 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 6612145624260 in words is "six trillion, six hundred twelve billion, one hundred forty-five million, six hundred twenty-four thousand, two hundred sixty".