6835982400 has 567 divisors, whose sum is σ = 26815210149. Its totient is φ = 1650954240.

The previous prime is 6835982381. The next prime is 6835982437. The reversal of 6835982400 is 42895386.

The square root of 6835982400 is 82680.

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

It can be written as a sum of positive squares in 13 ways, for example, as 5368785984 + 1467196416 = 73272^2 + 38304^2 .

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 80 ways as a sum of consecutive naturals, for example, 128980774 + ... + 128980826.

Almost surely, 2^6835982400 is an apocalyptic number.

6835982400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

6835982400 is the 82680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6835982400

6835982400 is an abundant number, since it is smaller than the sum of its proper divisors (19979227749).

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

6835982400 is a wasteful number, since it uses less digits than its factorization.

6835982400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The cubic root of 6835982400 is about 1897.8722626237.

The spelling of 6835982400 in words is "six billion, eight hundred thirty-five million, nine hundred eighty-two thousand, four hundred".