55773584640 has 288 divisors, whose sum is σ = 199265472000. Its totient is φ = 14771773440.

The previous prime is 55773584627. The next prime is 55773584641. The reversal of 55773584640 is 4648537755.

55773584640 is a `hidden beast` number, since 5 + 57 + 7 + 3 + 584 + 6 + 4 + 0 = 666.

55773584640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-4 number, since 4×55773584640⁴ (a number of 44 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55773584641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5144025 + ... + 5154855.

It is an arithmetic number, because the mean of its divisors is an integer number (691894000).

Almost surely, 2^55773584640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55773584640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99632736000).

55773584640 is an abundant number, since it is smaller than the sum of its proper divisors (143491887360).

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

55773584640 is a wasteful number, since it uses less digits than its factorization.

55773584640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11010 (or 10990 counting only the distinct ones).

The product of its (nonzero) digits is 14112000, while the sum is 54.

The spelling of 55773584640 in words is "fifty-five billion, seven hundred seventy-three million, five hundred eighty-four thousand, six hundred forty".