64358763840 has 1344 divisors, whose sum is σ = 284024832000. Its totient is φ = 13826598912.

The previous prime is 64358763839. The next prime is 64358763853. The reversal of 64358763840 is 4836785346.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 191 ways as a sum of consecutive naturals, for example, 506761857 + ... + 506761983.

It is an arithmetic number, because the mean of its divisors is an integer number (211328000).

Almost surely, 2^64358763840 is an apocalyptic number.

64358763840 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 64358763840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142012416000).

64358763840 is an abundant number, since it is smaller than the sum of its proper divisors (219666068160).

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

64358763840 is a wasteful number, since it uses less digits than its factorization.

64358763840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 64358763840 in words is "sixty-four billion, three hundred fifty-eight million, seven hundred sixty-three thousand, eight hundred forty".