738301132800000 has 6480 divisors, whose sum is σ = 3651451050050496. Its totient is φ = 144388915200000.

The previous prime is 738301132799987. The next prime is 738301132800013. The reversal of 738301132800000 is 8231103837.

738301132800000 is a `hidden beast` number, since 73 + 8 + 301 + 1 + 3 + 280 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (738301132799987) and next prime (738301132800013).

It is a tau number, because it is divible by the number of its divisors (6480).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 359 ways as a sum of consecutive naturals, for example, 43429478399992 + ... + 43429478400008.

Almost surely, 2^{738301132800000} is an apocalyptic number.

738301132800000 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 738301132800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1825725525025248).

738301132800000 is an abundant number, since it is smaller than the sum of its proper divisors (2913149917250496).

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

738301132800000 is an frugal number, since it uses more digits than its factorization.

738301132800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Adding to 738301132800000 its reverse (8231103837), we get a palindrome (738309363903837).

The spelling of 738301132800000 in words is "seven hundred thirty-eight trillion, three hundred one billion, one hundred thirty-two million, eight hundred thousand".