10067253640 has 96 divisors (see below), whose sum is σ = 23902879680. Its totient is φ = 3808831488.

The previous prime is 10067253631. The next prime is 10067253659. The reversal of 10067253640 is 4635276001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10067253596 and 10067253605.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8655699 + ... + 8656861.

It is an arithmetic number, because the mean of its divisors is an integer number (248988330).

Almost surely, 2^10067253640 is an apocalyptic number.

10067253640 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 10067253640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11951439840).

10067253640 is an abundant number, since it is smaller than the sum of its proper divisors (13835626040).

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

10067253640 is a wasteful number, since it uses less digits than its factorization.

10067253640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1391 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The spelling of 10067253640 in words is "ten billion, sixty-seven million, two hundred fifty-three thousand, six hundred forty".