4614630667680 has 192 divisors, whose sum is σ = 15867409396608. Its totient is φ = 1118002728960.

The previous prime is 4614630667649. The next prime is 4614630667709. The reversal of 4614630667680 is 867660364164.

It is a self number, because there is not a number n which added to its sum of digits gives 4614630667680.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8245722 + ... + 8787558.

It is an arithmetic number, because the mean of its divisors is an integer number (82642757274).

Almost surely, 2^{4614630667680} is an apocalyptic number.

4614630667680 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 4614630667680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7933704698304).

4614630667680 is an abundant number, since it is smaller than the sum of its proper divisors (11252778728928).

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

4614630667680 is a wasteful number, since it uses less digits than its factorization.

4614630667680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543479 (or 543471 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 57.

The spelling of 4614630667680 in words is "four trillion, six hundred fourteen billion, six hundred thirty million, six hundred sixty-seven thousand, six hundred eighty".