7023802800672 has 288 divisors, whose sum is σ = 23871595587840. Its totient is φ = 1915378882560.

The previous prime is 7023802800653. The next prime is 7023802800673. The reversal of 7023802800672 is 2760082083207.

7023802800672 is a `hidden beast` number, since 70 + 238 + 0 + 280 + 0 + 6 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (7023802800673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21211354 + ... + 21539942.

It is an arithmetic number, because the mean of its divisors is an integer number (82887484680).

Almost surely, 2^{7023802800672} is an apocalyptic number.

7023802800672 is a gapful number since it is divisible by the number (72) 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 7023802800672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11935797793920).

7023802800672 is an abundant number, since it is smaller than the sum of its proper divisors (16847792787168).

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

7023802800672 is a wasteful number, since it uses less digits than its factorization.

7023802800672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329096 (or 329085 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

Adding to 7023802800672 its reverse (2760082083207), we get a palindrome (9783884883879).

The spelling of 7023802800672 in words is "seven trillion, twenty-three billion, eight hundred two million, eight hundred thousand, six hundred seventy-two".