8421201600 has 672 divisors, whose sum is σ = 34940906496. Its totient is φ = 1730150400.

The previous prime is 8421201599. The next prime is 8421201637. The reversal of 8421201600 is 61021248.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 13137280 + ... + 13137920.

Almost surely, 2^8421201600 is an apocalyptic number.

8421201600 is a gapful number since it is divisible by the number (80) 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 8421201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17470453248).

8421201600 is an abundant number, since it is smaller than the sum of its proper divisors (26519704896).

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

8421201600 is a wasteful number, since it uses less digits than its factorization.

8421201600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 8421201600 is about 91767.1052175015. The cubic root of 8421201600 is about 2034.5015330181.

Adding to 8421201600 its reverse (61021248), we get a palindrome (8482222848).

The spelling of 8421201600 in words is "eight billion, four hundred twenty-one million, two hundred one thousand, six hundred".