683653964400 has 1440 divisors, whose sum is σ = 2870183796480. Its totient is φ = 154524672000.

The previous prime is 683653964369. The next prime is 683653964437. The reversal of 683653964400 is 4469356386.

683653964400 is a `hidden beast` number, since 6 + 8 + 3 + 6 + 539 + 64 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1482980170 + ... + 1482980630.

It is an arithmetic number, because the mean of its divisors is an integer number (1993183192).

Almost surely, 2^683653964400 is an apocalyptic number.

683653964400 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 683653964400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1435091898240).

683653964400 is an abundant number, since it is smaller than the sum of its proper divisors (2186529832080).

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

683653964400 is a wasteful number, since it uses less digits than its factorization.

683653964400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 683653964400 in words is "six hundred eighty-three billion, six hundred fifty-three million, nine hundred sixty-four thousand, four hundred".