64425076531200 has 3360 divisors, whose sum is σ = 307337891401728. Its totient is φ = 12947226624000.

The previous prime is 64425076531073. The next prime is 64425076531201. The reversal of 64425076531200 is 213567052446.

64425076531200 is a `hidden beast` number, since 6 + 4 + 4 + 25 + 0 + 76 + 531 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

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

It is not an unprimeable number, because it can be changed into a prime (64425076531201) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 39597464787 + ... + 39597466413.

Almost surely, 2^{64425076531200} is an apocalyptic number.

64425076531200 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 64425076531200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153668945700864).

64425076531200 is an abundant number, since it is smaller than the sum of its proper divisors (242912814870528).

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

64425076531200 is a wasteful number, since it uses less digits than its factorization.

64425076531200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1724 (or 1686 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 64425076531200 in words is "sixty-four trillion, four hundred twenty-five billion, seventy-six million, five hundred thirty-one thousand, two hundred".