164878763328 has 420 divisors, whose sum is σ = 523095138720. Its totient is φ = 51338907648.

The previous prime is 164878763327. The next prime is 164878763347. The reversal of 164878763328 is 823367878461.

164878763328 is a `hidden beast` number, since 16 + 487 + 87 + 63 + 3 + 2 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164878763327) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 250195063 + ... + 250195721.

It is an arithmetic number, because the mean of its divisors is an integer number (1245464616).

Almost surely, 2^164878763328 is an apocalyptic number.

164878763328 is a gapful number since it is divisible by the number (18) 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 164878763328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261547569360).

164878763328 is an abundant number, since it is smaller than the sum of its proper divisors (358216375392).

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

164878763328 is a wasteful number, since it uses less digits than its factorization.

164878763328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 848 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 63.

The spelling of 164878763328 in words is "one hundred sixty-four billion, eight hundred seventy-eight million, seven hundred sixty-three thousand, three hundred twenty-eight".