64399104000 has 1536 divisors, whose sum is σ = 299274393600. Its totient is φ = 13381632000.

The previous prime is 64399103999. The next prime is 64399104001. The reversal of 64399104000 is 40199346.

64399104000 is a `hidden beast` number, since 643 + 9 + 9 + 1 + 0 + 4 + 0 + 0 + 0 = 666.

64399104000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (64399103999) and next prime (64399104001).

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64399104001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5854463995 + ... + 5854464005.

It is an arithmetic number, because the mean of its divisors is an integer number (194840100).

Almost surely, 2^64399104000 is an apocalyptic number.

64399104000 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 64399104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149637196800).

64399104000 is an abundant number, since it is smaller than the sum of its proper divisors (234875289600).

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

64399104000 is an equidigital number, since it uses as much as digits as its factorization.

64399104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 64399104000 in words is "sixty-four billion, three hundred ninety-nine million, one hundred four thousand".