64348010496 has 1152 divisors, whose sum is σ = 258138316800. Its totient is φ = 15606743040.

The previous prime is 64348010483. The next prime is 64348010521. The reversal of 64348010496 is 69401084346.

64348010496 is a `hidden beast` number, since 64 + 3 + 480 + 104 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 95 ways as a sum of consecutive naturals, for example, 506677185 + ... + 506677311.

It is an arithmetic number, because the mean of its divisors is an integer number (224078400).

Almost surely, 2^64348010496 is an apocalyptic number.

64348010496 is a gapful number since it is divisible by the number (66) 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 64348010496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129069158400).

64348010496 is an abundant number, since it is smaller than the sum of its proper divisors (193790306304).

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

64348010496 is a wasteful number, since it uses less digits than its factorization.

64348010496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 64348010496 in words is "sixty-four billion, three hundred forty-eight million, ten thousand, four hundred ninety-six".