164937776640 has 1280 divisors, whose sum is σ = 701139124224. Its totient is φ = 32115916800.

The previous prime is 164937776629. The next prime is 164937776681. The reversal of 164937776640 is 46677739461.

164937776640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 498301275 + ... + 498301605.

Almost surely, 2^164937776640 is an apocalyptic number.

164937776640 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 164937776640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350569562112).

164937776640 is an abundant number, since it is smaller than the sum of its proper divisors (536201347584).

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

164937776640 is a wasteful number, since it uses less digits than its factorization.

164937776640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 60.

The spelling of 164937776640 in words is "one hundred sixty-four billion, nine hundred thirty-seven million, seven hundred seventy-six thousand, six hundred forty".