748326816000 has 288 divisors, whose sum is σ = 2761744876800. Its totient is φ = 199553587200.

The previous prime is 748326815993. The next prime is 748326816019. The reversal of 748326816000 is 618623847.

748326816000 is a `hidden beast` number, since 7 + 4 + 8 + 32 + 6 + 8 + 1 + 600 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 430941 + ... + 1297059.

Almost surely, 2^748326816000 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 748326816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1380872438400).

748326816000 is an abundant number, since it is smaller than the sum of its proper divisors (2013418060800).

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

748326816000 is an equidigital number, since it uses as much as digits as its factorization.

748326816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866159 (or 866129 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 748326816000 in words is "seven hundred forty-eight billion, three hundred twenty-six million, eight hundred sixteen thousand".