64062005366400 has 192 divisors, whose sum is σ = 211150097820480. Its totient is φ = 17071391784960.

The previous prime is 64062005366383. The next prime is 64062005366407. The reversal of 64062005366400 is 466350026046.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (64062005366407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11585352 + ... + 16197048.

It is an arithmetic number, because the mean of its divisors is an integer number (1099740092815).

Almost surely, 2^{64062005366400} is an apocalyptic number.

64062005366400 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 64062005366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105575048910240).

64062005366400 is an abundant number, since it is smaller than the sum of its proper divisors (147088092454080).

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

64062005366400 is a wasteful number, since it uses less digits than its factorization.

64062005366400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4613171 (or 4613154 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 64062005366400 in words is "sixty-four trillion, sixty-two billion, five million, three hundred sixty-six thousand, four hundred".