64084471971840 has 1092 divisors, whose sum is σ = 240734446316784. Its totient is φ = 16346184155136.

The previous prime is 64084471971809. The next prime is 64084471971869. The reversal of 64084471971840 is 4817917448046.

It is a happy number.

64084471971840 is a `hidden beast` number, since 6 + 4 + 0 + 8 + 447 + 1 + 9 + 7 + 184 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 51 ways as a sum of consecutive naturals, for example, 2786281390069 + ... + 2786281390091.

Almost surely, 2^{64084471971840} is an apocalyptic number.

64084471971840 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 64084471971840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120367223158392).

64084471971840 is an abundant number, since it is smaller than the sum of its proper divisors (176649974344944).

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

64084471971840 is an frugal number, since it uses more digits than its factorization.

64084471971840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 64084471971840 in words is "sixty-four trillion, eighty-four billion, four hundred seventy-one million, nine hundred seventy-one thousand, eight hundred forty".