4663863267840 has 960 divisors, whose sum is σ = 19002258063360. Its totient is φ = 1035154391040.

The previous prime is 4663863267829. The next prime is 4663863267857. The reversal of 4663863267840 is 487623683664.

4663863267840 is a `hidden beast` number, since 466 + 3 + 8 + 6 + 32 + 67 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×4663863267840² (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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 767205921 + ... + 767211999.

It is an arithmetic number, because the mean of its divisors is an integer number (19794018816).

Almost surely, 2^{4663863267840} is an apocalyptic number.

4663863267840 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 4663863267840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9501129031680).

4663863267840 is an abundant number, since it is smaller than the sum of its proper divisors (14338394795520).

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

4663863267840 is a wasteful number, since it uses less digits than its factorization.

4663863267840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6253 (or 6234 counting only the distinct ones).

The product of its (nonzero) digits is 167215104, while the sum is 63.

The spelling of 4663863267840 in words is "four trillion, six hundred sixty-three billion, eight hundred sixty-three million, two hundred sixty-seven thousand, eight hundred forty".