10214687736 has 384 divisors, whose sum is σ = 34049433600. Its totient is φ = 2834352000.

The previous prime is 10214687701. The next prime is 10214687783. The reversal of 10214687736 is 63778641201.

It is a junction number, because it is equal to n+sod(n) for n = 10214687691 and 10214687700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12594771 + ... + 12595581.

It is an arithmetic number, because the mean of its divisors is an integer number (88670400).

Almost surely, 2^10214687736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10214687736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17024716800).

10214687736 is an abundant number, since it is smaller than the sum of its proper divisors (23834745864).

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

10214687736 is a wasteful number, since it uses less digits than its factorization.

10214687736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 10214687736 in words is "ten billion, two hundred fourteen million, six hundred eighty-seven thousand, seven hundred thirty-six".