7326920448000 has 1152 divisors, whose sum is σ = 28833779520000. Its totient is φ = 1850712883200.

The previous prime is 7326920447969. The next prime is 7326920448017. The reversal of 7326920448000 is 8440296237.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 95 ways as a sum of consecutive naturals, for example, 1181948901 + ... + 1181955099.

It is an arithmetic number, because the mean of its divisors is an integer number (25029322500).

Almost surely, 2^{7326920448000} 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 7326920448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14416889760000).

7326920448000 is an abundant number, since it is smaller than the sum of its proper divisors (21506859072000).

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

7326920448000 is an equidigital number, since it uses as much as digits as its factorization.

7326920448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6270 (or 6228 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 7326920448000 in words is "seven trillion, three hundred twenty-six billion, nine hundred twenty million, four hundred forty-eight thousand".