10007214336 has 540 divisors, whose sum is σ = 35427809872. Its totient is φ = 2816529408.

The previous prime is 10007214263. The next prime is 10007214341. The reversal of 10007214336 is 63341270001.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 149361375 + ... + 149361441.

Almost surely, 2^10007214336 is an apocalyptic number.

10007214336 is a gapful number since it is divisible by the number (16) 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 10007214336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17713904936).

10007214336 is an abundant number, since it is smaller than the sum of its proper divisors (25420595536).

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

10007214336 is an frugal number, since it uses more digits than its factorization.

10007214336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

Adding to 10007214336 its reverse (63341270001), we get a palindrome (73348484337).

The spelling of 10007214336 in words is "ten billion, seven million, two hundred fourteen thousand, three hundred thirty-six".