64053820761840 has 4800 divisors, whose sum is σ = 307271630856960. Its totient is φ = 11996489318400.

The previous prime is 64053820761817. The next prime is 64053820761893. The reversal of 64053820761840 is 4816702835046.

It is a happy number.

64053820761840 is a `hidden beast` number, since 6 + 4 + 0 + 538 + 2 + 0 + 7 + 61 + 8 + 40 = 666.

64053820761840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 959 ways as a sum of consecutive naturals, for example, 587649731706 + ... + 587649731814.

Almost surely, 2^{64053820761840} is an apocalyptic number.

64053820761840 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 64053820761840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153635815428480).

64053820761840 is an abundant number, since it is smaller than the sum of its proper divisors (243217810095120).

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

64053820761840 is a wasteful number, since it uses less digits than its factorization.

64053820761840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 64053820761840 in words is "sixty-four trillion, fifty-three billion, eight hundred twenty million, seven hundred sixty-one thousand, eight hundred forty".