10064753640 has 96 divisors (see below), whose sum is σ = 32876723880. Its totient is φ = 2670291456.

The previous prime is 10064753639. The next prime is 10064753641. The reversal of 10064753640 is 4635746001.

It is a happy number.

10064753640 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 4 + 7 + 5 + 3 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (10064753639) and next prime (10064753641).

It can be written as a sum of positive squares in 4 ways, for example, as 9821206404 + 243547236 = 99102^2 + 15606^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 10064753595 and 10064753604.

It is not an unprimeable number, because it can be changed into a prime (10064753641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39 + ... + 141878.

Almost surely, 2^10064753640 is an apocalyptic number.

10064753640 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 10064753640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16438361940).

10064753640 is an abundant number, since it is smaller than the sum of its proper divisors (22811970240).

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

10064753640 is a wasteful number, since it uses less digits than its factorization.

10064753640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142131 (or 142124 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 10064753640 in words is "ten billion, sixty-four million, seven hundred fifty-three thousand, six hundred forty".