748800737280 has 1024 divisors, whose sum is σ = 2868860160000. Its totient is φ = 184732876800.

The previous prime is 748800737273. The next prime is 748800737309. The reversal of 748800737280 is 82737008847.

It is a happy number.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4958945205 + ... + 4958945355.

It is an arithmetic number, because the mean of its divisors is an integer number (2801621250).

Almost surely, 2^748800737280 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 748800737280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434430080000).

748800737280 is an abundant number, since it is smaller than the sum of its proper divisors (2120059422720).

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

748800737280 is a wasteful number, since it uses less digits than its factorization.

748800737280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 4214784, while the sum is 54.

The spelling of 748800737280 in words is "seven hundred forty-eight billion, eight hundred million, seven hundred thirty-seven thousand, two hundred eighty".