10227008640 has 256 divisors, whose sum is σ = 33439288320. Its totient is φ = 2657808384.

The previous prime is 10227008639. The next prime is 10227008641. The reversal of 10227008640 is 4680072201.

It is an interprime number because it is at equal distance from previous prime (10227008639) and next prime (10227008641).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10227008598 and 10227008607.

It is not an unprimeable number, because it can be changed into a prime (10227008641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13764109 + ... + 13764851.

It is an arithmetic number, because the mean of its divisors is an integer number (130622220).

Almost surely, 2^10227008640 is an apocalyptic number.

10227008640 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 10227008640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16719644160).

10227008640 is an abundant number, since it is smaller than the sum of its proper divisors (23212279680).

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

10227008640 is a wasteful number, since it uses less digits than its factorization.

10227008640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The spelling of 10227008640 in words is "ten billion, two hundred twenty-seven million, eight thousand, six hundred forty".