163279670400 has 1728 divisors, whose sum is σ = 761750084160. Its totient is φ = 33592320000.

The previous prime is 163279670377. The next prime is 163279670417. The reversal of 163279670400 is 4076972361.

163279670400 is a `hidden beast` number, since 1 + 632 + 7 + 9 + 6 + 7 + 0 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1616630350 + ... + 1616630450.

It is an arithmetic number, because the mean of its divisors is an integer number (440827595).

Almost surely, 2^163279670400 is an apocalyptic number.

163279670400 is a gapful number since it is divisible by the number (10) 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 163279670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380875042080).

163279670400 is an abundant number, since it is smaller than the sum of its proper divisors (598470413760).

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

163279670400 is an equidigital number, since it uses as much as digits as its factorization.

163279670400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 163279670400 in words is "one hundred sixty-three billion, two hundred seventy-nine million, six hundred seventy thousand, four hundred".