683514468000 has 1152 divisors, whose sum is σ = 3066826613760. Its totient is φ = 140291481600.

The previous prime is 683514467983. The next prime is 683514468097. The reversal of 683514468000 is 864415386.

683514468000 is a `hidden beast` number, since 6 + 83 + 51 + 446 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 121209181 + ... + 121214819.

It is an arithmetic number, because the mean of its divisors is an integer number (2662175880).

Almost surely, 2^683514468000 is an apocalyptic number.

683514468000 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 683514468000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1533413306880).

683514468000 is an abundant number, since it is smaller than the sum of its proper divisors (2383312145760).

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

683514468000 is a wasteful number, since it uses less digits than its factorization.

683514468000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5727 (or 5706 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 683514468000 in words is "six hundred eighty-three billion, five hundred fourteen million, four hundred sixty-eight thousand".