64604354144400 has 1920 divisors, whose sum is σ = 278663307264000. Its totient is φ = 13897360097280.

The previous prime is 64604354144371. The next prime is 64604354144413. The reversal of 64604354144400 is 444145340646.

It is a happy number.

64604354144400 is a `hidden beast` number, since 6 + 4 + 60 + 4 + 3 + 541 + 4 + 4 + 40 + 0 = 666.

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 383 ways as a sum of consecutive naturals, for example, 35438481889 + ... + 35438483711.

It is an arithmetic number, because the mean of its divisors is an integer number (145137139200).

Almost surely, 2^{64604354144400} is an apocalyptic number.

64604354144400 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 64604354144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139331653632000).

64604354144400 is an abundant number, since it is smaller than the sum of its proper divisors (214058953119600).

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

64604354144400 is a wasteful number, since it uses less digits than its factorization.

64604354144400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2198 (or 2181 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 45.

The spelling of 64604354144400 in words is "sixty-four trillion, six hundred four billion, three hundred fifty-four million, one hundred forty-four thousand, four hundred".