2679152720400 has 720 divisors, whose sum is σ = 10217231944192. Its totient is φ = 646092288000.

The previous prime is 2679152720389. The next prime is 2679152720407. The reversal of 2679152720400 is 40272519762.

2679152720400 is a `hidden beast` number, since 2 + 6 + 79 + 152 + 7 + 20 + 400 = 666.

2679152720400 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 (720).

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 (2679152720407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 773649069 + ... + 773652531.

Almost surely, 2^{2679152720400} is an apocalyptic number.

2679152720400 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 2679152720400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5108615972096).

2679152720400 is an abundant number, since it is smaller than the sum of its proper divisors (7538079223792).

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

2679152720400 is a wasteful number, since it uses less digits than its factorization.

2679152720400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3832 (or 3818 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 2679152720400 in words is "two trillion, six hundred seventy-nine billion, one hundred fifty-two million, seven hundred twenty thousand, four hundred".