2664718404480 has 1536 divisors, whose sum is σ = 11216279692800. Its totient is φ = 597302968320.

The previous prime is 2664718404473. The next prime is 2664718404527. The reversal of 2664718404480 is 844048174662.

2664718404480 is a `hidden beast` number, since 26 + 64 + 7 + 1 + 84 + 0 + 4 + 480 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1715851384 + ... + 1715852936.

It is an arithmetic number, because the mean of its divisors is an integer number (7302265425).

Almost surely, 2^{2664718404480} is an apocalyptic number.

2664718404480 is a gapful number since it is divisible by the number (20) 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 2664718404480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5608139846400).

2664718404480 is an abundant number, since it is smaller than the sum of its proper divisors (8551561288320).

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

2664718404480 is a wasteful number, since it uses less digits than its factorization.

2664718404480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1674 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 2664718404480 in words is "two trillion, six hundred sixty-four billion, seven hundred eighteen million, four hundred four thousand, four hundred eighty".