4659873200640 has 640 divisors, whose sum is σ = 18948644352000. Its totient is φ = 1063324827648.

The previous prime is 4659873200599. The next prime is 4659873200659. The reversal of 4659873200640 is 460023789564.

4659873200640 is a `hidden beast` number, since 4 + 6 + 598 + 7 + 3 + 2 + 0 + 0 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 299489181 + ... + 299504739.

It is an arithmetic number, because the mean of its divisors is an integer number (29607256800).

Almost surely, 2^{4659873200640} is an apocalyptic number.

4659873200640 is a gapful number since it is divisible by the number (40) 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 4659873200640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9474322176000).

4659873200640 is an abundant number, since it is smaller than the sum of its proper divisors (14288771151360).

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

4659873200640 is a wasteful number, since it uses less digits than its factorization.

4659873200640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16217 (or 16195 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 4659873200640 in words is "four trillion, six hundred fifty-nine billion, eight hundred seventy-three million, two hundred thousand, six hundred forty".