738537460480 has 144 divisors (see below), whose sum is σ = 1780401672000. Its totient is φ = 293520015360.

The previous prime is 738537460439. The next prime is 738537460481. The reversal of 738537460480 is 84064735837.

It is not an unprimeable number, because it can be changed into a prime (738537460481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 236633320 + ... + 236636440.

It is an arithmetic number, because the mean of its divisors is an integer number (12363900500).

Almost surely, 2^738537460480 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 738537460480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890200836000).

738537460480 is an abundant number, since it is smaller than the sum of its proper divisors (1041864211520).

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

738537460480 is a wasteful number, since it uses less digits than its factorization.

738537460480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4270 (or 4256 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 55.

The spelling of 738537460480 in words is "seven hundred thirty-eight billion, five hundred thirty-seven million, four hundred sixty thousand, four hundred eighty".