964100068200 has 576 divisors, whose sum is σ = 3481418603520. Its totient is φ = 238629888000.

The previous prime is 964100068199. The next prime is 964100068301. The reversal of 964100068200 is 2860001469.

964100068200 is a `hidden beast` number, since 9 + 641 + 0 + 0 + 0 + 6 + 8 + 2 + 0 + 0 = 666.

964100068200 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

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, 146583312 + ... + 146589888.

It is an arithmetic number, because the mean of its divisors is an integer number (6044129520).

Almost surely, 2^964100068200 is an apocalyptic number.

964100068200 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 964100068200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740709301760).

964100068200 is an abundant number, since it is smaller than the sum of its proper divisors (2517318535320).

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

964100068200 is a wasteful number, since it uses less digits than its factorization.

964100068200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6738 (or 6726 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Adding to 964100068200 its reverse (2860001469), we get a palindrome (966960069669).

The spelling of 964100068200 in words is "nine hundred sixty-four billion, one hundred million, sixty-eight thousand, two hundred".