10266702264 has 768 divisors, whose sum is σ = 38610432000. Its totient is φ = 2499517440.

The previous prime is 10266702247. The next prime is 10266702343. The reversal of 10266702264 is 46220766201.

It is a super-4 number, since 4×10266702264⁴ (a number of 41 digits) contains 4444 as substring.

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

It is a congruent number.

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, 123695167 + ... + 123695249.

It is an arithmetic number, because the mean of its divisors is an integer number (50274000).

Almost surely, 2^10266702264 is an apocalyptic number.

10266702264 is a gapful number since it is divisible by the number (14) 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 10266702264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19305216000).

10266702264 is an abundant number, since it is smaller than the sum of its proper divisors (28343729736).

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

10266702264 is a wasteful number, since it uses less digits than its factorization.

10266702264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 10266702264 in words is "ten billion, two hundred sixty-six million, seven hundred two thousand, two hundred sixty-four".