162764078400 has 1344 divisors, whose sum is σ = 746712207360. Its totient is φ = 33503846400.

The previous prime is 162764078381. The next prime is 162764078597. The reversal of 162764078400 is 4870467261.

162764078400 is a `hidden beast` number, since 162 + 7 + 6 + 407 + 84 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 555508654 + ... + 555508946.

It is an arithmetic number, because the mean of its divisors is an integer number (555589440).

Almost surely, 2^162764078400 is an apocalyptic number.

162764078400 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 162764078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373356103680).

162764078400 is an abundant number, since it is smaller than the sum of its proper divisors (583948128960).

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

162764078400 is a wasteful number, since it uses less digits than its factorization.

162764078400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 162764078400 in words is "one hundred sixty-two billion, seven hundred sixty-four million, seventy-eight thousand, four hundred".