738144960 has 112 divisors (see below), whose sum is σ = 2678436096. Its totient is φ = 168717312.

The previous prime is 738144959. The next prime is 738144983. The reversal of 738144960 is 69441837.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

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, 48202 + ... + 61641.

It is an arithmetic number, because the mean of its divisors is an integer number (23914608).

Almost surely, 2^738144960 is an apocalyptic number.

738144960 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

738144960 is an abundant number, since it is smaller than the sum of its proper divisors (1940291136).

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

738144960 is a wasteful number, since it uses less digits than its factorization.

738144960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109870 (or 109860 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 738144960 is about 27168.8233090798. The cubic root of 738144960 is about 903.7477302714.

The spelling of 738144960 in words is "seven hundred thirty-eight million, one hundred forty-four thousand, nine hundred sixty".