64811682809160 has 256 divisors, whose sum is σ = 223358813798400. Its totient is φ = 14737700155392.

The previous prime is 64811682809147. The next prime is 64811682809173. The reversal of 64811682809160 is 6190828611846.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (64811682809147) and next prime (64811682809173).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 64811682809094 and 64811682809103.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 278803297 + ... + 279035663.

It is an arithmetic number, because the mean of its divisors is an integer number (872495366400).

Almost surely, 2^{64811682809160} is an apocalyptic number.

64811682809160 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 64811682809160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111679406899200).

64811682809160 is an abundant number, since it is smaller than the sum of its proper divisors (158547130989240).

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

64811682809160 is a wasteful number, since it uses less digits than its factorization.

64811682809160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234100 (or 234096 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 60.

The spelling of 64811682809160 in words is "sixty-four trillion, eight hundred eleven billion, six hundred eighty-two million, eight hundred nine thousand, one hundred sixty".