643740048 has 360 divisors, whose sum is σ = 2264021760. Its totient is φ = 176359680.

The previous prime is 643740043. The next prime is 643740049. The reversal of 643740048 is 840047346.

643740048 is a `hidden beast` number, since 643 + 7 + 4 + 0 + 0 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 643739994 and 643740021.

It is not an unprimeable number, because it can be changed into a prime (643740043) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5905818 + ... + 5905926.

Almost surely, 2^643740048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 643740048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132010880).

643740048 is an abundant number, since it is smaller than the sum of its proper divisors (1620281712).

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

643740048 is a wasteful number, since it uses less digits than its factorization.

643740048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 643740048 is about 25372.0327920330. The cubic root of 643740048 is about 863.4493018472.

The spelling of 643740048 in words is "six hundred forty-three million, seven hundred forty thousand, forty-eight".