54645799680 has 432 divisors, whose sum is σ = 205906428000. Its totient is φ = 13327663104.

The previous prime is 54645799673. The next prime is 54645799687. The reversal of 54645799680 is 8699754645.

54645799680 is a `hidden beast` number, since 5 + 464 + 5 + 7 + 9 + 96 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (54645799673) and next prime (54645799687).

It is not an unprimeable number, because it can be changed into a prime (54645799687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6343216 + ... + 6351824.

It is an arithmetic number, because the mean of its divisors is an integer number (476635250).

Almost surely, 2^54645799680 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 54645799680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102953214000).

54645799680 is an abundant number, since it is smaller than the sum of its proper divisors (151260628320).

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

54645799680 is a wasteful number, since it uses less digits than its factorization.

54645799680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8684 (or 8667 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 54645799680 in words is "fifty-four billion, six hundred forty-five million, seven hundred ninety-nine thousand, six hundred eighty".