64420199424000 has 2240 divisors, whose sum is σ = 276460536223872. Its totient is φ = 14619377664000.

The previous prime is 64420199423981. The next prime is 64420199424001. The reversal of 64420199424000 is 42499102446.

64420199424000 is a `hidden beast` number, since 64 + 420 + 1 + 99 + 42 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64420199424001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 105090047694 + ... + 105090048306.

Almost surely, 2^{64420199424000} is an apocalyptic number.

64420199424000 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 64420199424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138230268111936).

64420199424000 is an abundant number, since it is smaller than the sum of its proper divisors (212040336799872).

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

64420199424000 is an equidigital number, since it uses as much as digits as its factorization.

64420199424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 64420199424000 in words is "sixty-four trillion, four hundred twenty billion, one hundred ninety-nine million, four hundred twenty-four thousand".