748889210880 has 1024 divisors, whose sum is σ = 2834635161600. Its totient is φ = 187280916480.

The previous prime is 748889210873. The next prime is 748889210887. The reversal of 748889210880 is 88012988847.

It is an interprime number because it is at equal distance from previous prime (748889210873) and next prime (748889210887).

It is a tau number, because it is divible by the number of its divisors (1024).

It is a super-2 number, since 2×748889210880² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (748889210887) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5896765377 + ... + 5896765503.

It is an arithmetic number, because the mean of its divisors is an integer number (2768198400).

Almost surely, 2^748889210880 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 748889210880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1417317580800).

748889210880 is an abundant number, since it is smaller than the sum of its proper divisors (2085745950720).

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

748889210880 is a wasteful number, since it uses less digits than its factorization.

748889210880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 16515072, while the sum is 63.

The spelling of 748889210880 in words is "seven hundred forty-eight billion, eight hundred eighty-nine million, two hundred ten thousand, eight hundred eighty".