164647254240 has 576 divisors, whose sum is σ = 678191754240. Its totient is φ = 35533209600.

The previous prime is 164647254203. The next prime is 164647254241. The reversal of 164647254240 is 42452746461.

It is a happy number.

164647254240 is a `hidden beast` number, since 1 + 6 + 4 + 64 + 7 + 2 + 542 + 40 = 666.

164647254240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164647254241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64540965 + ... + 64543515.

It is an arithmetic number, because the mean of its divisors is an integer number (1177416240).

Almost surely, 2^164647254240 is an apocalyptic number.

164647254240 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 164647254240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339095877120).

164647254240 is an abundant number, since it is smaller than the sum of its proper divisors (513544500000).

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

164647254240 is a wasteful number, since it uses less digits than its factorization.

164647254240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2935 (or 2924 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 164647254240 in words is "one hundred sixty-four billion, six hundred forty-seven million, two hundred fifty-four thousand, two hundred forty".