6776646120000 has 840 divisors, whose sum is σ = 25142295290112. Its totient is φ = 1743436800000.

The previous prime is 6776646119983. The next prime is 6776646120017. The reversal of 6776646120000 is 216466776.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6776646119983) and next prime (6776646120017).

It is a super-2 number, since 2×6776646120000² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1201317180 + ... + 1201322820.

Almost surely, 2^{6776646120000} is an apocalyptic number.

6776646120000 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 6776646120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12571147645056).

6776646120000 is an abundant number, since it is smaller than the sum of its proper divisors (18365649170112).

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

6776646120000 is a wasteful number, since it uses less digits than its factorization.

6776646120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5797 (or 5769 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 6776646120000 in words is "six trillion, seven hundred seventy-six billion, six hundred forty-six million, one hundred twenty thousand".