799144164000 has 3072 divisors, whose sum is σ = 3843593994240. Its totient is φ = 156764160000.

The previous prime is 799144163971. The next prime is 799144164047. The reversal of 799144164000 is 461441997.

799144164000 is a `hidden beast` number, since 7 + 99 + 144 + 16 + 400 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 13100723970 + ... + 13100724030.

It is an arithmetic number, because the mean of its divisors is an integer number (1251169920).

Almost surely, 2^799144164000 is an apocalyptic number.

799144164000 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 799144164000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1921796997120).

799144164000 is an abundant number, since it is smaller than the sum of its proper divisors (3044449830240).

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

799144164000 is a wasteful number, since it uses less digits than its factorization.

799144164000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 799144164000 in words is "seven hundred ninety-nine billion, one hundred forty-four million, one hundred sixty-four thousand".