4627338324840 has 2560 divisors, whose sum is σ = 21109189939200. Its totient is φ = 880387522560.

The previous prime is 4627338324827. The next prime is 4627338324871. The reversal of 4627338324840 is 484238337264.

4627338324840 is a `hidden beast` number, since 4 + 6 + 27 + 338 + 3 + 248 + 40 = 666.

It is a super-2 number, since 2×4627338324840² (a number of 26 digits) contains 22 as substring.

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 639 ways as a sum of consecutive naturals, for example, 28388578599 + ... + 28388578761.

It is an arithmetic number, because the mean of its divisors is an integer number (8245777320).

Almost surely, 2^{4627338324840} is an apocalyptic number.

4627338324840 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 4627338324840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10554594969600).

4627338324840 is an abundant number, since it is smaller than the sum of its proper divisors (16481851614360).

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

4627338324840 is a wasteful number, since it uses less digits than its factorization.

4627338324840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 54.

The spelling of 4627338324840 in words is "four trillion, six hundred twenty-seven billion, three hundred thirty-eight million, three hundred twenty-four thousand, eight hundred forty".