6780533760 has 1408 divisors, whose sum is σ = 33014016000. Its totient is φ = 1300561920.

The previous prime is 6780533737. The next prime is 6780533777. The reversal of 6780533760 is 673350876.

It is a tau number, because it is divible by the number of its divisors (1408).

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 521579514 + ... + 521579526.

Almost surely, 2^6780533760 is an apocalyptic number.

6780533760 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 6780533760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16507008000).

6780533760 is an abundant number, since it is smaller than the sum of its proper divisors (26233482240).

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

6780533760 is a wasteful number, since it uses less digits than its factorization.

6780533760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 6780533760 is about 82343.9965024773. The cubic root of 6780533760 is about 1892.7269278421.

The spelling of 6780533760 in words is "six billion, seven hundred eighty million, five hundred thirty-three thousand, seven hundred sixty".