8610716400 has 720 divisors, whose sum is σ = 34446545280. Its totient is φ = 1812326400.

The previous prime is 8610716399. The next prime is 8610716431. The reversal of 8610716400 is 46170168.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 61947531 + ... + 61947669.

It is an arithmetic number, because the mean of its divisors is an integer number (47842424).

Almost surely, 2^8610716400 is an apocalyptic number.

8610716400 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 8610716400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17223272640).

8610716400 is an abundant number, since it is smaller than the sum of its proper divisors (25835828880).

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

8610716400 is a wasteful number, since it uses less digits than its factorization.

8610716400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 8610716400 is about 92793.9459232120. The cubic root of 8610716400 is about 2049.6502595903.

Adding to 8610716400 its reverse (46170168), we get a palindrome (8656886568).

The spelling of 8610716400 in words is "eight billion, six hundred ten million, seven hundred sixteen thousand, four hundred".