164768963040 has 576 divisors, whose sum is σ = 635820337152. Its totient is φ = 38494310400.

The previous prime is 164768963033. The next prime is 164768963081. The reversal of 164768963040 is 40369867461.

164768963040 is a `hidden beast` number, since 16 + 476 + 8 + 96 + 30 + 40 = 666.

It is a super-2 number, since 2×164768963040² (a number of 23 digits) contains 22 as substring.

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, 150748734 + ... + 150749826.

It is an arithmetic number, because the mean of its divisors is an integer number (1103854752).

Almost surely, 2^164768963040 is an apocalyptic number.

164768963040 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 164768963040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317910168576).

164768963040 is an abundant number, since it is smaller than the sum of its proper divisors (471051374112).

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

164768963040 is a wasteful number, since it uses less digits than its factorization.

164768963040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1463 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 164768963040 in words is "one hundred sixty-four billion, seven hundred sixty-eight million, nine hundred sixty-three thousand, forty".