164000650544640 has 5760 divisors, whose sum is σ = 790514893808640. Its totient is φ = 31794566529024.

The previous prime is 164000650544531. The next prime is 164000650544669. The reversal of 164000650544640 is 46445056000461.

164000650544640 is a `hidden beast` number, since 1 + 6 + 4 + 0 + 0 + 0 + 65 + 0 + 544 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

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 575 ways as a sum of consecutive naturals, for example, 517352209762 + ... + 517352210078.

It is an arithmetic number, because the mean of its divisors is an integer number (137242169064).

Almost surely, 2^{164000650544640} is an apocalyptic number.

164000650544640 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 164000650544640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395257446904320).

164000650544640 is an abundant number, since it is smaller than the sum of its proper divisors (626514243264000).

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

164000650544640 is a wasteful number, since it uses less digits than its factorization.

164000650544640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 164000650544640 in words is "one hundred sixty-four trillion, six hundred fifty million, five hundred forty-four thousand, six hundred forty".