164263731287040 has 3696 divisors, whose sum is σ = 748677460737024. Its totient is φ = 33833826385920.

The previous prime is 164263731287009. The next prime is 164263731287059. The reversal of 164263731287040 is 40782137362461.

164263731287040 is a `hidden beast` number, since 1 + 6 + 42 + 6 + 373 + 128 + 70 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (3696).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 704994554764 + ... + 704994554996.

Almost surely, 2^{164263731287040} is an apocalyptic number.

164263731287040 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 164263731287040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374338730368512).

164263731287040 is an abundant number, since it is smaller than the sum of its proper divisors (584413729449984).

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

164263731287040 is a wasteful number, since it uses less digits than its factorization.

164263731287040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 164263731287040 in words is "one hundred sixty-four trillion, two hundred sixty-three billion, seven hundred thirty-one million, two hundred eighty-seven thousand, forty".