64534355010000 has 600 divisors, whose sum is σ = 241328140231464. Its totient is φ = 16036454400000.

The previous prime is 64534355009981. The next prime is 64534355010001. The reversal of 64534355010000 is 1055343546.

64534355010000 is a `hidden beast` number, since 6 + 4 + 53 + 43 + 550 + 10 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 20 ways, for example, as 56961797668416 + 7572557341584 = 7547304^2 + 2751828^2 .

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64534355010001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 154321192 + ... + 154738808.

Almost surely, 2^{64534355010000} is an apocalyptic number.

64534355010000 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 64534355010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120664070115732).

64534355010000 is an abundant number, since it is smaller than the sum of its proper divisors (176793785221464).

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

64534355010000 is a wasteful number, since it uses less digits than its factorization.

64534355010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417769 (or 417745 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 64534355010000 in words is "sixty-four trillion, five hundred thirty-four billion, three hundred fifty-five million, ten thousand".