164037690432 has 882 divisors, whose sum is σ = 625081757454. Its totient is φ = 42535342080.

The previous prime is 164037690409. The next prime is 164037690433. The reversal of 164037690432 is 234096730461.

164037690432 is a `hidden beast` number, since 1 + 64 + 0 + 3 + 76 + 90 + 432 = 666.

It can be written as a sum of positive squares in only one way, i.e., 146333791296 + 17703899136 = 382536^2 + 133056^2 .

It is a tau number, because it is divible by the number of its divisors (882).

It is not an unprimeable number, because it can be changed into a prime (164037690433) by changing a digit.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 276623128 + ... + 276623720.

Almost surely, 2^164037690432 is an apocalyptic number.

164037690432 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 164037690432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312540878727).

164037690432 is an abundant number, since it is smaller than the sum of its proper divisors (461044067022).

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

164037690432 is an equidigital number, since it uses as much as digits as its factorization.

164037690432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 164037690432 in words is "one hundred sixty-four billion, thirty-seven million, six hundred ninety thousand, four hundred thirty-two".