546757680 has 240 divisors, whose sum is σ = 2076295680. Its totient is φ = 118347264.

The previous prime is 546757649. The next prime is 546757727. The reversal of 546757680 is 86757645.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 222217 + ... + 224663.

It is an arithmetic number, because the mean of its divisors is an integer number (8651232).

Almost surely, 2^546757680 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 546757680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1038147840).

546757680 is an abundant number, since it is smaller than the sum of its proper divisors (1529538000).

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

546757680 is a wasteful number, since it uses less digits than its factorization.

546757680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2496 (or 2483 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 48.

The square root of 546757680 is about 23382.8501256797. The cubic root of 546757680 is about 817.7080954221.

The spelling of 546757680 in words is "five hundred forty-six million, seven hundred fifty-seven thousand, six hundred eighty".