64868166720 has 672 divisors, whose sum is σ = 262438944768. Its totient is φ = 14399410176.

The previous prime is 64868166697. The next prime is 64868166733. The reversal of 64868166720 is 2766186846.

64868166720 is a `hidden beast` number, since 6 + 486 + 81 + 6 + 67 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×64868166720² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 211296807 + ... + 211297113.

It is an arithmetic number, because the mean of its divisors is an integer number (390534144).

Almost surely, 2^64868166720 is an apocalyptic number.

64868166720 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 64868166720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131219472384).

64868166720 is an abundant number, since it is smaller than the sum of its proper divisors (197570778048).

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

64868166720 is a wasteful number, since it uses less digits than its factorization.

64868166720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 64868166720 in words is "sixty-four billion, eight hundred sixty-eight million, one hundred sixty-six thousand, seven hundred twenty".