64845458496000 has 4800 divisors, whose sum is σ = 307881772117920. Its totient is φ = 13444094361600.

The previous prime is 64845458495989. The next prime is 64845458496001. The reversal of 64845458496000 is 69485454846.

64845458496000 is a `hidden beast` number, since 6 + 4 + 8 + 4 + 545 + 84 + 9 + 6 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 22953910968576 + 41891547527424 = 4791024^2 + 6472368^2 .

It is a tau number, because it is divible by the number of its divisors (4800).

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

It is not an unprimeable number, because it can be changed into a prime (64845458496001) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 241061183866 + ... + 241061184134.

Almost surely, 2^{64845458496000} is an apocalyptic number.

64845458496000 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 64845458496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153940886058960).

64845458496000 is an abundant number, since it is smaller than the sum of its proper divisors (243036313621920).

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

64845458496000 is a wasteful number, since it uses less digits than its factorization.

64845458496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 132710400, while the sum is 63.

The spelling of 64845458496000 in words is "sixty-four trillion, eight hundred forty-five billion, four hundred fifty-eight million, four hundred ninety-six thousand".