64755011543040 has 4032 divisors, whose sum is σ = 299173407361920. Its totient is φ = 12606567874560.

The previous prime is 64755011543011. The next prime is 64755011543099. The reversal of 64755011543040 is 4034511055746.

It is a happy number.

64755011543040 is a `hidden beast` number, since 6 + 4 + 7 + 5 + 50 + 11 + 543 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

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 287 ways as a sum of consecutive naturals, for example, 727584399316 + ... + 727584399404.

It is an arithmetic number, because the mean of its divisors is an integer number (74199753810).

Almost surely, 2^{64755011543040} is an apocalyptic number.

64755011543040 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 64755011543040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149586703680960).

64755011543040 is an abundant number, since it is smaller than the sum of its proper divisors (234418395818880).

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

64755011543040 is a wasteful number, since it uses less digits than its factorization.

64755011543040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

Adding to 64755011543040 its reverse (4034511055746), we get a palindrome (68789522598786).

The spelling of 64755011543040 in words is "sixty-four trillion, seven hundred fifty-five billion, eleven million, five hundred forty-three thousand, forty".