64413195840 has 672 divisors, whose sum is σ = 278069186304. Its totient is φ = 13854965760.

The previous prime is 64413195827. The next prime is 64413195841. The reversal of 64413195840 is 4859131446.

64413195840 is a `hidden beast` number, since 6 + 4 + 413 + 195 + 8 + 40 = 666.

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

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 (64413195841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9249960 + ... + 9256920.

It is an arithmetic number, because the mean of its divisors is an integer number (413793432).

Almost surely, 2^64413195840 is an apocalyptic number.

64413195840 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 64413195840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139034593152).

64413195840 is an abundant number, since it is smaller than the sum of its proper divisors (213655990464).

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

64413195840 is a wasteful number, since it uses less digits than its factorization.

64413195840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7017 (or 6995 counting only the distinct ones).

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

The spelling of 64413195840 in words is "sixty-four billion, four hundred thirteen million, one hundred ninety-five thousand, eight hundred forty".