683723980800 has 1320 divisors, whose sum is σ = 3020703466176. Its totient is φ = 149484994560.

The previous prime is 683723980783. The next prime is 683723980813. The reversal of 683723980800 is 8089327386.

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 59 ways as a sum of consecutive naturals, for example, 29727129589 + ... + 29727129611.

Almost surely, 2^683723980800 is an apocalyptic number.

683723980800 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 683723980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510351733088).

683723980800 is an abundant number, since it is smaller than the sum of its proper divisors (2336979485376).

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

683723980800 is an frugal number, since it uses more digits than its factorization.

683723980800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 683723980800 in words is "six hundred eighty-three billion, seven hundred twenty-three million, nine hundred eighty thousand, eight hundred".