164783020032 has 672 divisors, whose sum is σ = 537458266800. Its totient is φ = 50307858432.

The previous prime is 164783020001. The next prime is 164783020063. The reversal of 164783020032 is 230020387461.

It is a happy number.

164783020032 is a `hidden beast` number, since 1 + 647 + 8 + 3 + 0 + 2 + 0 + 0 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (164783020001) and next prime (164783020063).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1049573298 + ... + 1049573454.

Almost surely, 2^164783020032 is an apocalyptic number.

164783020032 is a gapful number since it is divisible by the number (12) 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 164783020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268729133400).

164783020032 is an abundant number, since it is smaller than the sum of its proper divisors (372675246768).

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

164783020032 is an equidigital number, since it uses as much as digits as its factorization.

164783020032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 164783020032 in words is "one hundred sixty-four billion, seven hundred eighty-three million, twenty thousand, thirty-two".