64305727920 has 240 divisors, whose sum is σ = 254773788672. Its totient is φ = 14224273920.

The previous prime is 64305727903. The next prime is 64305727933. The reversal of 64305727920 is 2972750346.

64305727920 is a `hidden beast` number, since 6 + 4 + 3 + 0 + 572 + 79 + 2 + 0 = 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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49552 + ... + 362031.

Almost surely, 2^64305727920 is an apocalyptic number.

64305727920 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 64305727920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127386894336).

64305727920 is an abundant number, since it is smaller than the sum of its proper divisors (190468060752).

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

64305727920 is a wasteful number, since it uses less digits than its factorization.

64305727920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411640 (or 411631 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 64305727920 in words is "sixty-four billion, three hundred five million, seven hundred twenty-seven thousand, nine hundred twenty".