65164103424 has 720 divisors, whose sum is σ = 235056729600. Its totient is φ = 17554268160.

The previous prime is 65164103377. The next prime is 65164103449. The reversal of 65164103424 is 42430146156.

65164103424 is a `hidden beast` number, since 6 + 5 + 1 + 641 + 0 + 3 + 4 + 2 + 4 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 437342902 + ... + 437343050.

It is an arithmetic number, because the mean of its divisors is an integer number (326467680).

Almost surely, 2^65164103424 is an apocalyptic number.

65164103424 is a gapful number since it is divisible by the number (64) 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 65164103424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117528364800).

65164103424 is an abundant number, since it is smaller than the sum of its proper divisors (169892626176).

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

65164103424 is a wasteful number, since it uses less digits than its factorization.

65164103424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 65164103424 in words is "sixty-five billion, one hundred sixty-four million, one hundred three thousand, four hundred twenty-four".