64543641650400 has 288 divisors, whose sum is σ = 229868720460288. Its totient is φ = 15600511180800.

The previous prime is 64543641650393. The next prime is 64543641650441. The reversal of 64543641650400 is 405614634546.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 64543641650400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5269449 + ... + 12524151.

It is an arithmetic number, because the mean of its divisors is an integer number (798155279376).

Almost surely, 2^{64543641650400} is an apocalyptic number.

64543641650400 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 64543641650400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114934360230144).

64543641650400 is an abundant number, since it is smaller than the sum of its proper divisors (165325078809888).

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

64543641650400 is a wasteful number, since it uses less digits than its factorization.

64543641650400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7255074 (or 7255061 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 48.

The spelling of 64543641650400 in words is "sixty-four trillion, five hundred forty-three billion, six hundred forty-one million, six hundred fifty thousand, four hundred".