7286811217920 has 2496 divisors, whose sum is σ = 30294192015360. Its totient is φ = 1666290548736.

The previous prime is 7286811217919. The next prime is 7286811217927. The reversal of 7286811217920 is 297121186827.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7286811217927) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 87792906199 + ... + 87792906281.

It is an arithmetic number, because the mean of its divisors is an integer number (12137096160).

Almost surely, 2^{7286811217920} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7286811217920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15147096007680).

7286811217920 is an abundant number, since it is smaller than the sum of its proper divisors (23007380797440).

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

7286811217920 is a wasteful number, since it uses less digits than its factorization.

7286811217920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 54.

The spelling of 7286811217920 in words is "seven trillion, two hundred eighty-six billion, eight hundred eleven million, two hundred seventeen thousand, nine hundred twenty".