8621064362400 has 1152 divisors, whose sum is σ = 35171348889600. Its totient is φ = 1789798809600.

The previous prime is 8621064362387. The next prime is 8621064362441. The reversal of 8621064362400 is 42634601268.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1078572804 + ... + 1078580796.

It is an arithmetic number, because the mean of its divisors is an integer number (30530684800).

Almost surely, 2^{8621064362400} is an apocalyptic number.

8621064362400 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 8621064362400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17585674444800).

8621064362400 is an abundant number, since it is smaller than the sum of its proper divisors (26550284527200).

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

8621064362400 is a wasteful number, since it uses less digits than its factorization.

8621064362400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8182 (or 8169 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

Adding to 8621064362400 its reverse (42634601268), we get a palindrome (8663698963668).

The spelling of 8621064362400 in words is "eight trillion, six hundred twenty-one billion, sixty-four million, three hundred sixty-two thousand, four hundred".