4686897600 has 672 divisors, whose sum is σ = 21316492800. Its totient is φ = 973209600.

The previous prime is 4686897581. The next prime is 4686897601. The reversal of 4686897600 is 67986864.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×4686897600² = 43934018225771520000, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4686897601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3325696 + ... + 3327104.

Almost surely, 2^4686897600 is an apocalyptic number.

4686897600 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 4686897600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10658246400).

4686897600 is an abundant number, since it is smaller than the sum of its proper divisors (16629595200).

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

4686897600 is a wasteful number, since it uses less digits than its factorization.

4686897600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1458 (or 1437 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 4686897600 is about 68460.9202392138. The cubic root of 4686897600 is about 1673.5106803281.

The spelling of 4686897600 in words is "four billion, six hundred eighty-six million, eight hundred ninety-seven thousand, six hundred".