738816400008 has 96 divisors (see below), whose sum is σ = 2006655487200. Its totient is φ = 245572300800.

The previous prime is 738816399973. The next prime is 738816400009. The reversal of 738816400008 is 800004618837.

It is not an unprimeable number, because it can be changed into a prime (738816400009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37419403 + ... + 37439141.

It is an arithmetic number, because the mean of its divisors is an integer number (20902661325).

Almost surely, 2^738816400008 is an apocalyptic number.

It is an amenable number.

738816400008 is an abundant number, since it is smaller than the sum of its proper divisors (1267839087192).

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

738816400008 is a wasteful number, since it uses less digits than its factorization.

738816400008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21203 (or 21196 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 738816400008 in words is "seven hundred thirty-eight billion, eight hundred sixteen million, four hundred thousand, eight".