64857185568000 has 1728 divisors, whose sum is σ = 279514957962240. Its totient is φ = 14767183872000.

The previous prime is 64857185567987. The next prime is 64857185568001. The reversal of 64857185568000 is 86558175846.

64857185568000 is a `hidden beast` number, since 6 + 4 + 8 + 5 + 71 + 8 + 556 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64857185568001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11473053174 + ... + 11473058826.

Almost surely, 2^{64857185568000} is an apocalyptic number.

64857185568000 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 64857185568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139757478981120).

64857185568000 is an abundant number, since it is smaller than the sum of its proper divisors (214657772394240).

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

64857185568000 is a wasteful number, since it uses less digits than its factorization.

64857185568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5978 (or 5941 counting only the distinct ones).

The product of its (nonzero) digits is 64512000, while the sum is 63.

The spelling of 64857185568000 in words is "sixty-four trillion, eight hundred fifty-seven billion, one hundred eighty-five million, five hundred sixty-eight thousand".