683942232064 has 405 divisors, whose sum is σ = 1747585446201. Its totient is φ = 266759700480.

The previous prime is 683942232059. The next prime is 683942232121. The reversal of 683942232064 is 460232249386.

The square root of 683942232064 is 827008.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 101174886400 + 582767345664 = 318080^2 + 763392^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a junction number, because it is equal to n+sod(n) for n = 683942231999 and 683942232017.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9632989149 + ... + 9632989219.

Almost surely, 2^683942232064 is an apocalyptic number.

683942232064 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

683942232064 is the 827008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 683942232064

683942232064 is an abundant number, since it is smaller than the sum of its proper divisors (1063643214137).

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

683942232064 is an frugal number, since it uses more digits than its factorization.

683942232064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 49.

Multiplying 683942232064 by its sum of digits (49), we get a square (33513169371136 = 5789056²).

683942232064 divided by its sum of digits (49) gives a square (13958004736 = 118144²).

The spelling of 683942232064 in words is "six hundred eighty-three billion, nine hundred forty-two million, two hundred thirty-two thousand, sixty-four".