64955842560 has 1152 divisors, whose sum is σ = 279713865600. Its totient is φ = 13872660480.

The previous prime is 64955842537. The next prime is 64955842561. The reversal of 64955842560 is 6524855946.

64955842560 is a `hidden beast` number, since 6 + 4 + 9 + 5 + 584 + 2 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×64955842560² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 64955842497 and 64955842506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64955842561) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2095349745 + ... + 2095349775.

It is an arithmetic number, because the mean of its divisors is an integer number (242807175).

Almost surely, 2^64955842560 is an apocalyptic number.

64955842560 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 64955842560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139856932800).

64955842560 is an abundant number, since it is smaller than the sum of its proper divisors (214758023040).

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

64955842560 is a wasteful number, since it uses less digits than its factorization.

64955842560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 64955842560 in words is "sixty-four billion, nine hundred fifty-five million, eight hundred forty-two thousand, five hundred sixty".