6677124480 has 384 divisors, whose sum is σ = 25916829120. Its totient is φ = 1571733504.

The previous prime is 6677124479. The next prime is 6677124499. The reversal of 6677124480 is 844217766.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1720302 + ... + 1724178.

Almost surely, 2^6677124480 is an apocalyptic number.

6677124480 is a gapful number since it is divisible by the number (60) 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 6677124480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12958414560).

6677124480 is an abundant number, since it is smaller than the sum of its proper divisors (19239704640).

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

6677124480 is a wasteful number, since it uses less digits than its factorization.

6677124480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3938 (or 3923 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 6677124480 is about 81713.6737639423. The cubic root of 6677124480 is about 1883.0556615370.

The spelling of 6677124480 in words is "six billion, six hundred seventy-seven million, one hundred twenty-four thousand, four hundred eighty".