4685630167296 has 1008 divisors, whose sum is σ = 15903374965632. Its totient is φ = 1366386278400.

The previous prime is 4685630167291. The next prime is 4685630167367. The reversal of 4685630167296 is 6927610365864.

4685630167296 is a `hidden beast` number, since 4 + 6 + 8 + 563 + 0 + 1 + 67 + 2 + 9 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (4685630167291) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 7309875136 + ... + 7309875776.

It is an arithmetic number, because the mean of its divisors is an integer number (15777157704).

It is a 1-persistent number, because it is pandigital, but 2⋅4685630167296 = 9371260334592 is not.

Almost surely, 2^{4685630167296} is an apocalyptic number.

4685630167296 is a gapful number since it is divisible by the number (46) 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 4685630167296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7951687482816).

4685630167296 is an abundant number, since it is smaller than the sum of its proper divisors (11217744798336).

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

4685630167296 is a wasteful number, since it uses less digits than its factorization.

4685630167296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 4685630167296 in words is "four trillion, six hundred eighty-five billion, six hundred thirty million, one hundred sixty-seven thousand, two hundred ninety-six".