64785853440 has 1584 divisors, whose sum is σ = 304412808960. Its totient is φ = 12342067200.

The previous prime is 64785853423. The next prime is 64785853493. The reversal of 64785853440 is 4435858746.

It is a happy number.

64785853440 is a `hidden beast` number, since 6 + 47 + 85 + 85 + 3 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2089866225 + ... + 2089866255.

Almost surely, 2^64785853440 is an apocalyptic number.

64785853440 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 64785853440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152206404480).

64785853440 is an abundant number, since it is smaller than the sum of its proper divisors (239626955520).

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

64785853440 is a wasteful number, since it uses less digits than its factorization.

64785853440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 64785853440 in words is "sixty-four billion, seven hundred eighty-five million, eight hundred fifty-three thousand, four hundred forty".