64905450624 has 192 divisors, whose sum is σ = 215570047680. Its totient is φ = 18360576000.

The previous prime is 64905450619. The next prime is 64905450637. The reversal of 64905450624 is 42605450946.

64905450624 is a `hidden beast` number, since 6 + 4 + 90 + 54 + 506 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 64905450624.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 774619 + ... + 854309.

It is an arithmetic number, because the mean of its divisors is an integer number (1122760665).

Almost surely, 2^64905450624 is an apocalyptic number.

64905450624 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 64905450624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107785023840).

64905450624 is an abundant number, since it is smaller than the sum of its proper divisors (150664597056).

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

64905450624 is a wasteful number, since it uses less digits than its factorization.

64905450624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79819 (or 79804 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 64905450624 in words is "sixty-four billion, nine hundred five million, four hundred fifty thousand, six hundred twenty-four".