164967264400 has 120 divisors (see below), whose sum is σ = 418943721600. Its totient is φ = 62251660800.

The previous prime is 164967264379. The next prime is 164967264409. The reversal of 164967264400 is 4462769461.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (164967264409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1770990 + ... + 1861810.

It is an arithmetic number, because the mean of its divisors is an integer number (3491197680).

Almost surely, 2^164967264400 is an apocalyptic number.

164967264400 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 164967264400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209471860800).

164967264400 is an abundant number, since it is smaller than the sum of its proper divisors (253976457200).

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

164967264400 is a wasteful number, since it uses less digits than its factorization.

164967264400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91097 (or 91086 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 49.

The spelling of 164967264400 in words is "one hundred sixty-four billion, nine hundred sixty-seven million, two hundred sixty-four thousand, four hundred".