65167441920 has 1200 divisors, whose sum is σ = 283182375168. Its totient is φ = 14014218240.

The previous prime is 65167441907. The next prime is 65167441921. The reversal of 65167441920 is 2914476156.

65167441920 is a `hidden beast` number, since 6 + 516 + 7 + 4 + 41 + 92 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (65167441921) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1068318690 + ... + 1068318750.

Almost surely, 2^65167441920 is an apocalyptic number.

65167441920 is a gapful number since it is divisible by the number (60) 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 65167441920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141591187584).

65167441920 is an abundant number, since it is smaller than the sum of its proper divisors (218014933248).

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

65167441920 is an equidigital number, since it uses as much as digits as its factorization.

65167441920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 65167441920 in words is "sixty-five billion, one hundred sixty-seven million, four hundred forty-one thousand, nine hundred twenty".