164958776640 has 672 divisors, whose sum is σ = 677075892480. Its totient is φ = 37036154880.

The previous prime is 164958776639. The next prime is 164958776651. The reversal of 164958776640 is 46677859461.

It is a happy number.

164958776640 is a `hidden beast` number, since 1 + 6 + 4 + 9 + 587 + 7 + 6 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×164958776640² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 225045714 + ... + 225046446.

Almost surely, 2^164958776640 is an apocalyptic number.

164958776640 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 164958776640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338537946240).

164958776640 is an abundant number, since it is smaller than the sum of its proper divisors (512117115840).

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

164958776640 is an equidigital number, since it uses as much as digits as its factorization.

164958776640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 164958776640 in words is "one hundred sixty-four billion, nine hundred fifty-eight million, seven hundred seventy-six thousand, six hundred forty".