64205930880 has 1536 divisors, whose sum is σ = 300839616000. Its totient is φ = 12791955456.

The previous prime is 64205930879. The next prime is 64205930933. The reversal of 64205930880 is 8803950246.

64205930880 is a `hidden beast` number, since 64 + 205 + 9 + 308 + 80 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 209139687 + ... + 209139993.

It is an arithmetic number, because the mean of its divisors is an integer number (195859125).

Almost surely, 2^64205930880 is an apocalyptic number.

64205930880 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 64205930880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150419808000).

64205930880 is an abundant number, since it is smaller than the sum of its proper divisors (236633685120).

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

64205930880 is a wasteful number, since it uses less digits than its factorization.

64205930880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 356 counting only the distinct ones).

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

The spelling of 64205930880 in words is "sixty-four billion, two hundred five million, nine hundred thirty thousand, eight hundred eighty".