7468326624000 has 1152 divisors, whose sum is σ = 27671068938240. Its totient is φ = 1770086400000.

The previous prime is 7468326623993. The next prime is 7468326624001. The reversal of 7468326624000 is 4266238647.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (7468326624001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17327903785 + ... + 17327904215.

It is an arithmetic number, because the mean of its divisors is an integer number (24020025120).

Almost surely, 2^{7468326624000} 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 7468326624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13835534469120).

7468326624000 is an abundant number, since it is smaller than the sum of its proper divisors (20202742314240).

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

7468326624000 is a wasteful number, since it uses less digits than its factorization.

7468326624000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 48.

The spelling of 7468326624000 in words is "seven trillion, four hundred sixty-eight billion, three hundred twenty-six million, six hundred twenty-four thousand".