640460448000 has 864 divisors, whose sum is σ = 2454433319520. Its totient is φ = 159802982400.

The previous prime is 640460447999. The next prime is 640460448077. The reversal of 640460448000 is 844064046.

640460448000 is a `hidden beast` number, since 6 + 4 + 0 + 4 + 604 + 48 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 75726233856 + 564734214144 = 275184^2 + 751488^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1258271746 + ... + 1258272254.

It is an arithmetic number, because the mean of its divisors is an integer number (2840779305).

Almost surely, 2^640460448000 is an apocalyptic number.

640460448000 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 640460448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1227216659760).

640460448000 is an abundant number, since it is smaller than the sum of its proper divisors (1813972871520).

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

640460448000 is a wasteful number, since it uses less digits than its factorization.

640460448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 640460448000 in words is "six hundred forty billion, four hundred sixty million, four hundred forty-eight thousand".