4685817951360 has 2304 divisors, whose sum is σ = 22328418528000. Its totient is φ = 881112121344.

The previous prime is 4685817951359. The next prime is 4685817951361. The reversal of 4685817951360 is 631597185864.

4685817951360 is a `hidden beast` number, since 4 + 6 + 8 + 58 + 1 + 7 + 9 + 513 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (4685817951359) and next prime (4685817951361).

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

It is not an unprimeable number, because it can be changed into a prime (4685817951361) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2200946776 + ... + 2200948904.

It is an arithmetic number, because the mean of its divisors is an integer number (9691153875).

Almost surely, 2^{4685817951360} is an apocalyptic number.

4685817951360 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 4685817951360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11164209264000).

4685817951360 is an abundant number, since it is smaller than the sum of its proper divisors (17642600576640).

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

4685817951360 is a wasteful number, since it uses less digits than its factorization.

4685817951360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2223 (or 2195 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 4685817951360 in words is "four trillion, six hundred eighty-five billion, eight hundred seventeen million, nine hundred fifty-one thousand, three hundred sixty".