10334204640 has 192 divisors, whose sum is σ = 37336965120. Its totient is φ = 2666856960.

The previous prime is 10334204627. The next prime is 10334204659. The reversal of 10334204640 is 4640243301.

10334204640 is a `hidden beast` number, since 10 + 3 + 3 + 4 + 2 + 0 + 4 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95337 + ... + 172503.

It is an arithmetic number, because the mean of its divisors is an integer number (194463360).

Almost surely, 2^10334204640 is an apocalyptic number.

10334204640 is a gapful number since it is divisible by the number (10) 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 10334204640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18668482560).

10334204640 is an abundant number, since it is smaller than the sum of its proper divisors (27002760480).

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

10334204640 is a wasteful number, since it uses less digits than its factorization.

10334204640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77222 (or 77208 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 10334204640 its reverse (4640243301), we get a palindrome (14974447941).

The spelling of 10334204640 in words is "ten billion, three hundred thirty-four million, two hundred four thousand, six hundred forty".