64364407142400 has 720 divisors, whose sum is σ = 238941840337200. Its totient is φ = 17124259921920.

The previous prime is 64364407142393. The next prime is 64364407142437. The reversal of 64364407142400 is 424170446346.

64364407142400 is a `hidden beast` number, since 6 + 4 + 3 + 64 + 40 + 7 + 142 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1820603124 + ... + 1820638476.

It is an arithmetic number, because the mean of its divisors is an integer number (331863667135).

Almost surely, 2^{64364407142400} is an apocalyptic number.

64364407142400 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 64364407142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119470920168600).

64364407142400 is an abundant number, since it is smaller than the sum of its proper divisors (174577433194800).

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

64364407142400 is a wasteful number, since it uses less digits than its factorization.

64364407142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35836 (or 35802 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 45.

Adding to 64364407142400 its reverse (424170446346), we get a palindrome (64788577588746).

The spelling of 64364407142400 in words is "sixty-four trillion, three hundred sixty-four billion, four hundred seven million, one hundred forty-two thousand, four hundred".