6549437952 has 480 divisors, whose sum is σ = 21942122400. Its totient is φ = 1919877120.

The previous prime is 6549437903. The next prime is 6549438019. The reversal of 6549437952 is 2597349456.

6549437952 is a `hidden beast` number, since 6 + 549 + 4 + 3 + 7 + 95 + 2 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (8164800) is a multiple of the sum of its prime factors (135).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 211272177 + ... + 211272207.

It is an arithmetic number, because the mean of its divisors is an integer number (45712755).

Almost surely, 2^6549437952 is an apocalyptic number.

6549437952 is a gapful number since it is divisible by the number (62) 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 6549437952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10971061200).

6549437952 is an abundant number, since it is smaller than the sum of its proper divisors (15392684448).

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

6549437952 is a wasteful number, since it uses less digits than its factorization.

6549437952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 82 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 54.

The square root of 6549437952 is about 80928.5978625603. The cubic root of 6549437952 is about 1870.9751128935.

The spelling of 6549437952 in words is "six billion, five hundred forty-nine million, four hundred thirty-seven thousand, nine hundred fifty-two".