6775577138880 has 1680 divisors, whose sum is σ = 27556720063488. Its totient is φ = 1577420697600.

The previous prime is 6775577138831. The next prime is 6775577138893. The reversal of 6775577138880 is 888317755776.

6775577138880 is a `hidden beast` number, since 67 + 7 + 557 + 7 + 1 + 3 + 8 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 6775577138799 and 6775577138808.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 22070283687 + ... + 22070283993.

Almost surely, 2^{6775577138880} is an apocalyptic number.

6775577138880 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 6775577138880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13778360031744).

6775577138880 is an abundant number, since it is smaller than the sum of its proper divisors (20781142924608).

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

6775577138880 is a wasteful number, since it uses less digits than its factorization.

6775577138880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 553190400, while the sum is 72.

The spelling of 6775577138880 in words is "six trillion, seven hundred seventy-five billion, five hundred seventy-seven million, one hundred thirty-eight thousand, eight hundred eighty".