64087418304 has 1008 divisors, whose sum is σ = 251378618400. Its totient is φ = 15411658752.

The previous prime is 64087418231. The next prime is 64087418347. The reversal of 64087418304 is 40381478046.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a self number, because there is not a number n which added to its sum of digits gives 64087418304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 202168354 + ... + 202168670.

It is an arithmetic number, because the mean of its divisors is an integer number (249383550).

Almost surely, 2^64087418304 is an apocalyptic number.

64087418304 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 64087418304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125689309200).

64087418304 is an abundant number, since it is smaller than the sum of its proper divisors (187291200096).

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

64087418304 is a wasteful number, since it uses less digits than its factorization.

64087418304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 64087418304 in words is "sixty-four billion, eighty-seven million, four hundred eighteen thousand, three hundred four".