738046720320 has 2688 divisors, whose sum is σ = 3380507246592. Its totient is φ = 132356505600.

The previous prime is 738046720291. The next prime is 738046720349. The reversal of 738046720320 is 23027640837.

It is an interprime number because it is at equal distance from previous prime (738046720291) and next prime (738046720349).

It is a super-2 number, since 2×738046720320² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 18001139500 + ... + 18001139540.

It is an arithmetic number, because the mean of its divisors is an integer number (1257629184).

Almost surely, 2^738046720320 is an apocalyptic number.

738046720320 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 738046720320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1690253623296).

738046720320 is an abundant number, since it is smaller than the sum of its proper divisors (2642460526272).

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

738046720320 is a wasteful number, since it uses less digits than its factorization.

738046720320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The spelling of 738046720320 in words is "seven hundred thirty-eight billion, forty-six million, seven hundred twenty thousand, three hundred twenty".