6790713600 has 648 divisors, whose sum is σ = 25619332480. Its totient is φ = 1581465600.

The previous prime is 6790713599. The next prime is 6790713613. The reversal of 6790713600 is 63170976.

It is a super-2 number, since 2×6790713600² = 92227582394449920000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 85958361 + ... + 85958439.

Almost surely, 2^6790713600 is an apocalyptic number.

6790713600 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 6790713600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12809666240).

6790713600 is an abundant number, since it is smaller than the sum of its proper divisors (18828618880).

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

6790713600 is a wasteful number, since it uses less digits than its factorization.

6790713600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 39.

The square root of 6790713600 is about 82405.7862046107. The cubic root of 6790713600 is about 1893.6736587640.

The spelling of 6790713600 in words is "six billion, seven hundred ninety million, seven hundred thirteen thousand, six hundred".