549976711680 has 960 divisors, whose sum is σ = 2260974038400. Its totient is φ = 126273945600.

The previous prime is 549976711667. The next prime is 549976711693. The reversal of 549976711680 is 86117679945.

549976711680 is a `hidden beast` number, since 5 + 499 + 7 + 67 + 1 + 1 + 6 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (549976711667) and next prime (549976711693).

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-3 number, since 3×549976711680³ (a number of 36 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 158905150 + ... + 158908610.

It is an arithmetic number, because the mean of its divisors is an integer number (2355181290).

Almost surely, 2^549976711680 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 549976711680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130487019200).

549976711680 is an abundant number, since it is smaller than the sum of its proper divisors (1710997326720).

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

549976711680 is a wasteful number, since it uses less digits than its factorization.

549976711680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3534 (or 3501 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 549976711680 in words is "five hundred forty-nine billion, nine hundred seventy-six million, seven hundred eleven thousand, six hundred eighty".