64511855749440 has 1344 divisors, whose sum is σ = 256405315138560. Its totient is φ = 15250843238400.

The previous prime is 64511855749427. The next prime is 64511855749457. The reversal of 64511855749440 is 4494755811546.

64511855749440 is a `hidden beast` number, since 6 + 4 + 5 + 1 + 18 + 5 + 574 + 9 + 4 + 40 = 666.

64511855749440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14396752000 + ... + 14396756480.

It is an arithmetic number, because the mean of its divisors is an integer number (190777764240).

Almost surely, 2^{64511855749440} is an apocalyptic number.

64511855749440 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 64511855749440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128202657569280).

64511855749440 is an abundant number, since it is smaller than the sum of its proper divisors (191893459389120).

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

64511855749440 is a wasteful number, since it uses less digits than its factorization.

64511855749440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4869 (or 4842 counting only the distinct ones).

The product of its (nonzero) digits is 96768000, while the sum is 63.

The spelling of 64511855749440 in words is "sixty-four trillion, five hundred eleven billion, eight hundred fifty-five million, seven hundred forty-nine thousand, four hundred forty".