738457749120 has 1024 divisors, whose sum is σ = 2957399424000. Its totient is φ = 153507594240.

The previous prime is 738457749067. The next prime is 738457749131. The reversal of 738457749120 is 21947754837.

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, 2627963380 + ... + 2627963660.

It is an arithmetic number, because the mean of its divisors is an integer number (2888085375).

Almost surely, 2^738457749120 is an apocalyptic number.

738457749120 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 738457749120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478699712000).

738457749120 is an abundant number, since it is smaller than the sum of its proper divisors (2218941674880).

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

738457749120 is a wasteful number, since it uses less digits than its factorization.

738457749120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 57.

The spelling of 738457749120 in words is "seven hundred thirty-eight billion, four hundred fifty-seven million, seven hundred forty-nine thousand, one hundred twenty".