640338048 has 384 divisors, whose sum is σ = 2325697920. Its totient is φ = 171196416.

The previous prime is 640338047. The next prime is 640338071. The reversal of 640338048 is 840833046.

640338048 is a `hidden beast` number, since 640 + 3 + 3 + 8 + 0 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (640338043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3701290 + ... + 3701462.

It is an arithmetic number, because the mean of its divisors is an integer number (6056505).

Almost surely, 2^640338048 is an apocalyptic number.

640338048 is a gapful number since it is divisible by the number (68) 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 640338048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1162848960).

640338048 is an abundant number, since it is smaller than the sum of its proper divisors (1685359872).

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

640338048 is a wasteful number, since it uses less digits than its factorization.

640338048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 640338048 is about 25304.9016595600. The cubic root of 640338048 is about 861.9255789598.

The spelling of 640338048 in words is "six hundred forty million, three hundred thirty-eight thousand, forty-eight".