643245829740 has 288 divisors, whose sum is σ = 2035893787200. Its totient is φ = 170481024000.

The previous prime is 643245829717. The next prime is 643245829763. The reversal of 643245829740 is 47928542346.

It is a happy number.

643245829740 is a `hidden beast` number, since 6 + 432 + 4 + 5 + 82 + 97 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (643245829717) and next prime (643245829763).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 917611390 + ... + 917612090.

It is an arithmetic number, because the mean of its divisors is an integer number (7069075650).

Almost surely, 2^643245829740 is an apocalyptic number.

643245829740 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 643245829740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017946893600).

643245829740 is an abundant number, since it is smaller than the sum of its proper divisors (1392647957460).

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

643245829740 is a wasteful number, since it uses less digits than its factorization.

643245829740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1615 (or 1601 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 643245829740 in words is "six hundred forty-three billion, two hundred forty-five million, eight hundred twenty-nine thousand, seven hundred forty".