6982277760000 has 825 divisors, whose sum is σ = 26125905127179. Its totient is φ = 1856867328000.

The previous prime is 6982277759971. The next prime is 6982277760011. The reversal of 6982277760000 is 677722896.

The square root of 6982277760000 is 2642400.

It is a perfect power (a square), and thus also a powerful number.

6982277760000 is a `hidden beast` number, since 6 + 9 + 8 + 2 + 27 + 7 + 7 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 547410576384 + 6434867183616 = 739872^2 + 2536704^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 19025279817 + ... + 19025280183.

Almost surely, 2^{6982277760000} is an apocalyptic number.

6982277760000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

6982277760000 is the 2642400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6982277760000

6982277760000 is an abundant number, since it is smaller than the sum of its proper divisors (19143627367179).

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

6982277760000 is an frugal number, since it uses more digits than its factorization.

6982277760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 6982277760000 in words is "six trillion, nine hundred eighty-two billion, two hundred seventy-seven million, seven hundred sixty thousand".