64162264320 has 2016 divisors, whose sum is σ = 308840878080. Its totient is φ = 12361973760.

The previous prime is 64162264303. The next prime is 64162264381. The reversal of 64162264320 is 2346226146.

64162264320 is a `hidden beast` number, since 6 + 4 + 1 + 6 + 2 + 2 + 643 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1365154537 + ... + 1365154583.

It is an arithmetic number, because the mean of its divisors is an integer number (153194880).

Almost surely, 2^64162264320 is an apocalyptic number.

64162264320 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 64162264320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154420439040).

64162264320 is an abundant number, since it is smaller than the sum of its proper divisors (244678613760).

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

64162264320 is a wasteful number, since it uses less digits than its factorization.

64162264320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 64162264320 in words is "sixty-four billion, one hundred sixty-two million, two hundred sixty-four thousand, three hundred twenty".