164677498440 has 512 divisors, whose sum is σ = 641765376000. Its totient is φ = 32827908096.

The previous prime is 164677498399. The next prime is 164677498487. The reversal of 164677498440 is 44894776461.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 99382092 + ... + 99383748.

It is an arithmetic number, because the mean of its divisors is an integer number (1253448000).

Almost surely, 2^164677498440 is an apocalyptic number.

164677498440 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 164677498440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320882688000).

164677498440 is an abundant number, since it is smaller than the sum of its proper divisors (477087877560).

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

164677498440 is a wasteful number, since it uses less digits than its factorization.

164677498440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2189 (or 2185 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 60.

The spelling of 164677498440 in words is "one hundred sixty-four billion, six hundred seventy-seven million, four hundred ninety-eight thousand, four hundred forty".