4657683824640 has 2720 divisors, whose sum is σ = 21705055612416. Its totient is φ = 927486443520.

The previous prime is 4657683824639. The next prime is 4657683824699. The reversal of 4657683824640 is 464283867564.

4657683824640 is a `hidden beast` number, since 4 + 6 + 576 + 8 + 38 + 24 + 6 + 4 + 0 = 666.

It is a super-2 number, since 2×4657683824640² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 87880826854 + ... + 87880826906.

Almost surely, 2^{4657683824640} is an apocalyptic number.

4657683824640 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 4657683824640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10852527806208).

4657683824640 is an abundant number, since it is smaller than the sum of its proper divisors (17047371787776).

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

4657683824640 is an equidigital number, since it uses as much as digits as its factorization.

4657683824640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 185794560, while the sum is 63.

The spelling of 4657683824640 in words is "four trillion, six hundred fifty-seven billion, six hundred eighty-three million, eight hundred twenty-four thousand, six hundred forty".