901780906164 has 96 divisors (see below), whose sum is σ = 2291853312000. Its totient is φ = 274883930496.

The previous prime is 901780906157. The next prime is 901780906199. The reversal of 901780906164 is 461609087109.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30287917 + ... + 30317675.

It is an arithmetic number, because the mean of its divisors is an integer number (23873472000).

Almost surely, 2^901780906164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 901780906164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145926656000).

901780906164 is an abundant number, since it is smaller than the sum of its proper divisors (1390072405836).

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

901780906164 is a wasteful number, since it uses less digits than its factorization.

901780906164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34397 (or 34395 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 51.

The spelling of 901780906164 in words is "nine hundred one billion, seven hundred eighty million, nine hundred six thousand, one hundred sixty-four".