546638658720 has 768 divisors, whose sum is σ = 2263423647744. Its totient is φ = 107573760000.

The previous prime is 546638658697. The next prime is 546638658739. The reversal of 546638658720 is 27856836645.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 53845645 + ... + 53855795.

It is an arithmetic number, because the mean of its divisors is an integer number (2947166208).

Almost surely, 2^546638658720 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 546638658720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1131711823872).

546638658720 is an abundant number, since it is smaller than the sum of its proper divisors (1716784989024).

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

546638658720 is a wasteful number, since it uses less digits than its factorization.

546638658720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10265 (or 10257 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 60.

The spelling of 546638658720 in words is "five hundred forty-six billion, six hundred thirty-eight million, six hundred fifty-eight thousand, seven hundred twenty".