748825745760 has 768 divisors, whose sum is σ = 2995763097600. Its totient is φ = 173558956032.

The previous prime is 748825745741. The next prime is 748825745797. The reversal of 748825745760 is 67547528847.

It is a happy number.

748825745760 is a `hidden beast` number, since 7 + 4 + 8 + 8 + 2 + 57 + 4 + 576 + 0 = 666.

748825745760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 48976837 + ... + 48992123.

It is an arithmetic number, because the mean of its divisors is an integer number (3900733200).

Almost surely, 2^748825745760 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 748825745760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497881548800).

748825745760 is an abundant number, since it is smaller than the sum of its proper divisors (2246937351840).

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

748825745760 is a wasteful number, since it uses less digits than its factorization.

748825745760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15380 (or 15366 counting only the distinct ones).

The product of its (nonzero) digits is 105369600, while the sum is 63.

The spelling of 748825745760 in words is "seven hundred forty-eight billion, eight hundred twenty-five million, seven hundred forty-five thousand, seven hundred sixty".