54933563664 has 720 divisors, whose sum is σ = 196198067520. Its totient is φ = 14814213120.

The previous prime is 54933563651. The next prime is 54933563677. The reversal of 54933563664 is 46636533945.

54933563664 is a `hidden beast` number, since 5 + 49 + 33 + 563 + 6 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (54933563651) and next prime (54933563677).

It is a super-2 number, since 2×54933563664² (a number of 22 digits) contains 22 as substring.

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 54933563664.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 337015647 + ... + 337015809.

It is an arithmetic number, because the mean of its divisors is an integer number (272497316).

Almost surely, 2^54933563664 is an apocalyptic number.

54933563664 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 54933563664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98099033760).

54933563664 is an abundant number, since it is smaller than the sum of its proper divisors (141264503856).

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

54933563664 is a wasteful number, since it uses less digits than its factorization.

54933563664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 265 counting only the distinct ones).

The product of its digits is 20995200, while the sum is 54.

The spelling of 54933563664 in words is "fifty-four billion, nine hundred thirty-three million, five hundred sixty-three thousand, six hundred sixty-four".