64541940480 has 720 divisors, whose sum is σ = 244458998784. Its totient is φ = 16233799680.

The previous prime is 64541940469. The next prime is 64541940481. The reversal of 64541940480 is 8404914546.

64541940480 is a `hidden beast` number, since 6 + 45 + 41 + 94 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is not an unprimeable number, because it can be changed into a prime (64541940481) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 138205207 + ... + 138205673.

Almost surely, 2^64541940480 is an apocalyptic number.

64541940480 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 64541940480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122229499392).

64541940480 is an abundant number, since it is smaller than the sum of its proper divisors (179917058304).

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

64541940480 is a wasteful number, since it uses less digits than its factorization.

64541940480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 64541940480 in words is "sixty-four billion, five hundred forty-one million, nine hundred forty thousand, four hundred eighty".