64682219520 has 240 divisors, whose sum is σ = 231844092480. Its totient is φ = 17248370688.

The previous prime is 64682219519. The next prime is 64682219533. The reversal of 64682219520 is 2591228646.

64682219520 is a `hidden beast` number, since 6 + 46 + 82 + 2 + 1 + 9 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 790449 + ... + 868431.

It is an arithmetic number, because the mean of its divisors is an integer number (966017052).

Almost surely, 2^64682219520 is an apocalyptic number.

64682219520 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 64682219520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115922046240).

64682219520 is an abundant number, since it is smaller than the sum of its proper divisors (167161872960).

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

64682219520 is an equidigital number, since it uses as much as digits as its factorization.

64682219520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78022 (or 77993 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 64682219520 in words is "sixty-four billion, six hundred eighty-two million, two hundred nineteen thousand, five hundred twenty".