6790180800 has 672 divisors, whose sum is σ = 26239695552. Its totient is φ = 1521745920.

The previous prime is 6790180799. The next prime is 6790180853. The reversal of 6790180800 is 80810976.

It is a super-2 number, since 2×6790180800² = 92213110593377280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39249514 + ... + 39249686.

It is an arithmetic number, because the mean of its divisors is an integer number (39047166).

Almost surely, 2^6790180800 is an apocalyptic number.

6790180800 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 6790180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13119847776).

6790180800 is an abundant number, since it is smaller than the sum of its proper divisors (19449514752).

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

6790180800 is a wasteful number, since it uses less digits than its factorization.

6790180800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 6790180800 is about 82402.5533584973. The cubic root of 6790180800 is about 1893.6241315335.

The spelling of 6790180800 in words is "six billion, seven hundred ninety million, one hundred eighty thousand, eight hundred".