2672286447600 has 720 divisors, whose sum is σ = 11604851241984. Its totient is φ = 553215744000.

The previous prime is 2672286447539. The next prime is 2672286447617. The reversal of 2672286447600 is 67446822762.

2672286447600 is a `hidden beast` number, since 2 + 6 + 7 + 2 + 28 + 6 + 4 + 4 + 7 + 600 = 666.

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

It is a super-2 number, since 2×2672286447600² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 75103414 + ... + 75138986.

Almost surely, 2^{2672286447600} is an apocalyptic number.

2672286447600 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 2672286447600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5802425620992).

2672286447600 is an abundant number, since it is smaller than the sum of its proper divisors (8932564794384).

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

2672286447600 is a wasteful number, since it uses less digits than its factorization.

2672286447600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35886 (or 35872 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 2672286447600 in words is "two trillion, six hundred seventy-two billion, two hundred eighty-six million, four hundred forty-seven thousand, six hundred".