748919808000 has 2688 divisors, whose sum is σ = 3572322324480. Its totient is φ = 146512281600.

The previous prime is 748919807983. The next prime is 748919808053. The reversal of 748919808000 is 808919847.

748919808000 is a `hidden beast` number, since 7 + 489 + 1 + 9 + 80 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15934463977 + ... + 15934464023.

It is an arithmetic number, because the mean of its divisors is an integer number (1328988960).

Almost surely, 2^748919808000 is an apocalyptic number.

748919808000 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 748919808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1786161162240).

748919808000 is an abundant number, since it is smaller than the sum of its proper divisors (2823402516480).

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

748919808000 is a wasteful number, since it uses less digits than its factorization.

748919808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 748919808000 in words is "seven hundred forty-eight billion, nine hundred nineteen million, eight hundred eight thousand".