748968066000 has 2560 divisors, whose sum is σ = 3529831219200. Its totient is φ = 147329280000.

The previous prime is 748968065971. The next prime is 748968066061. The reversal of 748968066000 is 660869847.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 10548845965 + ... + 10548846035.

It is an arithmetic number, because the mean of its divisors is an integer number (1378840320).

Almost surely, 2^748968066000 is an apocalyptic number.

748968066000 is a gapful number since it is divisible by the number (70) 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 748968066000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1764915609600).

748968066000 is an abundant number, since it is smaller than the sum of its proper divisors (2780863153200).

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

748968066000 is a wasteful number, since it uses less digits than its factorization.

748968066000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 748968066000 in words is "seven hundred forty-eight billion, nine hundred sixty-eight million, sixty-six thousand".