54307433664 has 560 divisors, whose sum is σ = 187366265856. Its totient is φ = 15388876800.

The previous prime is 54307433659. The next prime is 54307433681. The reversal of 54307433664 is 46633470345.

54307433664 is a `hidden beast` number, since 5 + 4 + 307 + 4 + 336 + 6 + 4 = 666.

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 79 ways as a sum of consecutive naturals, for example, 61642504 + ... + 61643384.

Almost surely, 2^54307433664 is an apocalyptic number.

54307433664 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 54307433664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93683132928).

54307433664 is an abundant number, since it is smaller than the sum of its proper divisors (133058832192).

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

54307433664 is a wasteful number, since it uses less digits than its factorization.

54307433664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 45.

The spelling of 54307433664 in words is "fifty-four billion, three hundred seven million, four hundred thirty-three thousand, six hundred sixty-four".