546560892864 has 630 divisors, whose sum is σ = 1948324150080. Its totient is φ = 151055331840.

The previous prime is 546560892853. The next prime is 546560892901. The reversal of 546560892864 is 468298065645.

546560892864 is a `hidden beast` number, since 5 + 4 + 6 + 560 + 8 + 9 + 2 + 8 + 64 = 666.

It is a super-2 number, since 2×546560892864² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 244108257 + ... + 244110495.

It is an arithmetic number, because the mean of its divisors is an integer number (3092578016).

Almost surely, 2^546560892864 is an apocalyptic number.

546560892864 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 546560892864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974162075040).

546560892864 is an abundant number, since it is smaller than the sum of its proper divisors (1401763257216).

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

546560892864 is a wasteful number, since it uses less digits than its factorization.

546560892864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2339 (or 2282 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 63.

The spelling of 546560892864 in words is "five hundred forty-six billion, five hundred sixty million, eight hundred ninety-two thousand, eight hundred sixty-four".