64893341859840 has 4080 divisors, whose sum is σ = 285865448349888. Its totient is φ = 13991795490816.

The previous prime is 64893341859779. The next prime is 64893341859889. The reversal of 64893341859840 is 4895814339846.

64893341859840 is a `hidden beast` number, since 6 + 4 + 89 + 3 + 3 + 418 + 5 + 98 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (4080).

It is a super-2 number, since 2×64893341859840² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1753874104302 + ... + 1753874104338.

Almost surely, 2^{64893341859840} is an apocalyptic number.

64893341859840 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 64893341859840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142932724174944).

64893341859840 is an abundant number, since it is smaller than the sum of its proper divisors (220972106490048).

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

64893341859840 is a wasteful number, since it uses less digits than its factorization.

64893341859840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 716636160, while the sum is 72.

The spelling of 64893341859840 in words is "sixty-four trillion, eight hundred ninety-three billion, three hundred forty-one million, eight hundred fifty-nine thousand, eight hundred forty".