64283926008960 has 640 divisors, whose sum is σ = 267315516230400. Its totient is φ = 14416229228544.

The previous prime is 64283926008949. The next prime is 64283926009033. The reversal of 64283926008960 is 6980062938246.

64283926008960 is a `hidden beast` number, since 6 + 4 + 283 + 9 + 260 + 0 + 8 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 79 ways as a sum of consecutive naturals, for example, 17561421 + ... + 20903859.

It is an arithmetic number, because the mean of its divisors is an integer number (417680494110).

Almost surely, 2^{64283926008960} is an apocalyptic number.

64283926008960 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 64283926008960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133657758115200).

64283926008960 is an abundant number, since it is smaller than the sum of its proper divisors (203031590221440).

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

64283926008960 is a wasteful number, since it uses less digits than its factorization.

64283926008960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3342530 (or 3342509 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 64283926008960 in words is "sixty-four trillion, two hundred eighty-three billion, nine hundred twenty-six million, eight thousand, nine hundred sixty".