9720806400 has 396 divisors, whose sum is σ = 35954228544. Its totient is φ = 2506752000.

The previous prime is 9720806393. The next prime is 9720806461. The reversal of 9720806400 is 46080279.

9720806400 is a `hidden beast` number, since 9 + 7 + 2 + 0 + 8 + 0 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7141720 + ... + 7143080.

Almost surely, 2^9720806400 is an apocalyptic number.

9720806400 is a gapful number since it is divisible by the number (90) 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 9720806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17977114272).

9720806400 is an abundant number, since it is smaller than the sum of its proper divisors (26233422144).

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

9720806400 is a wasteful number, since it uses less digits than its factorization.

9720806400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1428 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 9720806400 is about 98594.1499278735. The cubic root of 9720806400 is about 2134.1949991435.

Adding to 9720806400 its reverse (46080279), we get a palindrome (9766886679).

The spelling of 9720806400 in words is "nine billion, seven hundred twenty million, eight hundred six thousand, four hundred".