546776562720960 has 5376 divisors, whose sum is σ = 2540209731010560. Its totient is φ = 108968509440000.

The previous prime is 546776562720919. The next prime is 546776562720967. The reversal of 546776562720960 is 69027265677645.

It is a happy number.

546776562720960 is a `hidden beast` number, since 5 + 467 + 7 + 6 + 5 + 6 + 2 + 72 + 0 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (546776562720967) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 520244112435 + ... + 520244113485.

It is an arithmetic number, because the mean of its divisors is an integer number (472509250560).

Almost surely, 2^{546776562720960} 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 546776562720960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270104865505280).

546776562720960 is an abundant number, since it is smaller than the sum of its proper divisors (1993433168289600).

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

546776562720960 is a wasteful number, since it uses less digits than its factorization.

546776562720960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 1600300800, while the sum is 72.

The spelling of 546776562720960 in words is "five hundred forty-six trillion, seven hundred seventy-six billion, five hundred sixty-two million, seven hundred twenty thousand, nine hundred sixty".