64745243539200 has 7776 divisors, whose sum is σ = 324537228288000. Its totient is φ = 12173259571200.

The previous prime is 64745243539147. The next prime is 64745243539253. The reversal of 64745243539200 is 293534254746.

64745243539200 is a `hidden beast` number, since 6 + 4 + 7 + 4 + 5 + 243 + 5 + 392 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (64745243539147) and next prime (64745243539253).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 819560044761 + ... + 819560044839.

Almost surely, 2^{64745243539200} is an apocalyptic number.

64745243539200 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 64745243539200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162268614144000).

64745243539200 is an abundant number, since it is smaller than the sum of its proper divisors (259791984748800).

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

64745243539200 is a wasteful number, since it uses less digits than its factorization.

64745243539200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 54.

The spelling of 64745243539200 in words is "sixty-four trillion, seven hundred forty-five billion, two hundred forty-three million, five hundred thirty-nine thousand, two hundred".