546066465870240 has 960 divisors, whose sum is σ = 2318659296307200. Its totient is φ = 118232107259904.

The previous prime is 546066465870239. The next prime is 546066465870251. The reversal of 546066465870240 is 42078564660645.

546066465870240 is a `hidden beast` number, since 5 + 4 + 6 + 0 + 6 + 6 + 4 + 6 + 587 + 0 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 22868050621 + ... + 22868074499.

It is an arithmetic number, because the mean of its divisors is an integer number (2415270100320).

Almost surely, 2^{546066465870240} 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 546066465870240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1159329648153600).

546066465870240 is an abundant number, since it is smaller than the sum of its proper divisors (1772592830436960).

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

546066465870240 is a wasteful number, since it uses less digits than its factorization.

546066465870240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37199 (or 37182 counting only the distinct ones).

The product of its (nonzero) digits is 232243200, while the sum is 63.

The spelling of 546066465870240 in words is "five hundred forty-six trillion, sixty-six billion, four hundred sixty-five million, eight hundred seventy thousand, two hundred forty".