54609617664 has 288 divisors, whose sum is σ = 185090250240. Its totient is φ = 15557971968.

The previous prime is 54609617641. The next prime is 54609617693. The reversal of 54609617664 is 46671690645.

54609617664 is a `hidden beast` number, since 5 + 460 + 9 + 6 + 176 + 6 + 4 = 666.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 54609617664.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19207027 + ... + 19209869.

It is an arithmetic number, because the mean of its divisors is an integer number (642674480).

Almost surely, 2^54609617664 is an apocalyptic number.

54609617664 is a gapful number since it is divisible by the number (54) 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 54609617664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92545125120).

54609617664 is an abundant number, since it is smaller than the sum of its proper divisors (130480632576).

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

54609617664 is a wasteful number, since it uses less digits than its factorization.

54609617664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3272 (or 3252 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 54609617664 in words is "fifty-four billion, six hundred nine million, six hundred seventeen thousand, six hundred sixty-four".