10264217370 has 128 divisors (see below), whose sum is σ = 27875715840. Its totient is φ = 2395975680.

The previous prime is 10264217351. The next prime is 10264217371. The reversal of 10264217370 is 7371246201.

10264217370 is digitally balanced in base 2, because in such base 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 (33).

It is not an unprimeable number, because it can be changed into a prime (10264217371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4142572 + ... + 4145048.

It is an arithmetic number, because the mean of its divisors is an integer number (217779030).

Almost surely, 2^10264217370 is an apocalyptic number.

10264217370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10264217370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13937857920).

10264217370 is an abundant number, since it is smaller than the sum of its proper divisors (17611498470).

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

10264217370 is a wasteful number, since it uses less digits than its factorization.

10264217370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2960.

The product of its (nonzero) digits is 14112, while the sum is 33.

The spelling of 10264217370 in words is "ten billion, two hundred sixty-four million, two hundred seventeen thousand, three hundred seventy".