549775628416 has 768 divisors, whose sum is σ = 1483178376960. Its totient is φ = 201104031744.

The previous prime is 549775628407. The next prime is 549775628419. The reversal of 549775628416 is 614826577945.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (549775628419) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6623802711 + ... + 6623802793.

It is an arithmetic number, because the mean of its divisors is an integer number (1931221845).

Almost surely, 2^549775628416 is an apocalyptic number.

549775628416 is a gapful number since it is divisible by the number (56) 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 549775628416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741589188480).

549775628416 is an abundant number, since it is smaller than the sum of its proper divisors (933402748544).

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

549775628416 is a wasteful number, since it uses less digits than its factorization.

549775628416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 242 counting only the distinct ones).

The product of its digits is 101606400, while the sum is 64.

The spelling of 549775628416 in words is "five hundred forty-nine billion, seven hundred seventy-five million, six hundred twenty-eight thousand, four hundred sixteen".