164697883680 has 192 divisors, whose sum is σ = 566500386816. Its totient is φ = 39888768000.

The previous prime is 164697883619. The next prime is 164697883681. The reversal of 164697883680 is 86388796461.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (164697883681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5746185 + ... + 5774775.

It is an arithmetic number, because the mean of its divisors is an integer number (2950522848).

Almost surely, 2^164697883680 is an apocalyptic number.

164697883680 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 164697883680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283250193408).

164697883680 is an abundant number, since it is smaller than the sum of its proper divisors (401802503136).

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

164697883680 is a wasteful number, since it uses less digits than its factorization.

164697883680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29711 (or 29703 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 66.

The spelling of 164697883680 in words is "one hundred sixty-four billion, six hundred ninety-seven million, eight hundred eighty-three thousand, six hundred eighty".