2660347670400 has 864 divisors, whose sum is σ = 11451711496680. Its totient is φ = 608070758400.

The previous prime is 2660347670329. The next prime is 2660347670423. The reversal of 2660347670400 is 40767430662.

2660347670400 is a `hidden beast` number, since 26 + 60 + 34 + 76 + 70 + 400 = 666.

2660347670400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 38067490 + ... + 38137310.

Almost surely, 2^{2660347670400} is an apocalyptic number.

2660347670400 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 2660347670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5725855748340).

2660347670400 is an abundant number, since it is smaller than the sum of its proper divisors (8791363826280).

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

2660347670400 is an equidigital number, since it uses as much as digits as its factorization.

2660347670400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69874 (or 69838 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 2660347670400 in words is "two trillion, six hundred sixty billion, three hundred forty-seven million, six hundred seventy thousand, four hundred".