748418721120 has 288 divisors, whose sum is σ = 2919901001472. Its totient is φ = 171004548096.

The previous prime is 748418721077. The next prime is 748418721151. The reversal of 748418721120 is 21127814847.

748418721120 is a `hidden beast` number, since 7 + 48 + 418 + 72 + 1 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31064599 + ... + 31088681.

It is an arithmetic number, because the mean of its divisors is an integer number (10138545144).

Almost surely, 2^748418721120 is an apocalyptic number.

748418721120 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 748418721120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459950500736).

748418721120 is an abundant number, since it is smaller than the sum of its proper divisors (2171482280352).

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

748418721120 is a wasteful number, since it uses less digits than its factorization.

748418721120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27194 (or 27183 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

The spelling of 748418721120 in words is "seven hundred forty-eight billion, four hundred eighteen million, seven hundred twenty-one thousand, one hundred twenty".