164375690722560 has 1152 divisors, whose sum is σ = 610641768844800. Its totient is φ = 41837219020800.

The previous prime is 164375690722553. The next prime is 164375690722571. The reversal of 164375690722560 is 65227096573461.

164375690722560 is a `hidden beast` number, since 1 + 6 + 4 + 3 + 7 + 5 + 69 + 0 + 7 + 2 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11824731610 + ... + 11824745510.

It is an arithmetic number, because the mean of its divisors is an integer number (530070979900).

Almost surely, 2^{164375690722560} is an apocalyptic number.

164375690722560 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 164375690722560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305320884422400).

164375690722560 is an abundant number, since it is smaller than the sum of its proper divisors (446266078122240).

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

164375690722560 is a wasteful number, since it uses less digits than its factorization.

164375690722560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14156 (or 14136 counting only the distinct ones).

The product of its (nonzero) digits is 114307200, while the sum is 63.

The spelling of 164375690722560 in words is "one hundred sixty-four trillion, three hundred seventy-five billion, six hundred ninety million, seven hundred twenty-two thousand, five hundred sixty".