2720069164800 has 1080 divisors, whose sum is σ = 11016162160080. Its totient is φ = 658110873600.

The previous prime is 2720069164793. The next prime is 2720069164807. The reversal of 2720069164800 is 84619600272.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2720069164793) and next prime (2720069164807).

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-5 number, since 5×2720069164800⁵ (a number of 63 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

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 (2720069164807) 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 119 ways as a sum of consecutive naturals, for example, 397609380 + ... + 397616220.

Almost surely, 2^{2720069164800} is an apocalyptic number.

2720069164800 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 2720069164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5508081080040).

2720069164800 is an abundant number, since it is smaller than the sum of its proper divisors (8296092995280).

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

2720069164800 is a wasteful number, since it uses less digits than its factorization.

2720069164800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6951 (or 6923 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 2720069164800 in words is "two trillion, seven hundred twenty billion, sixty-nine million, one hundred sixty-four thousand, eight hundred".