10247912640 has 672 divisors, whose sum is σ = 42550470144. Its totient is φ = 2299207680.

The previous prime is 10247912639. The next prime is 10247912651. The reversal of 10247912640 is 4621974201.

It is a happy number.

10247912640 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 7 + 9 + 1 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 = 10247912595 and 10247912604.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36469300 + ... + 36469580.

It is an arithmetic number, because the mean of its divisors is an integer number (63319152).

Almost surely, 2^10247912640 is an apocalyptic number.

10247912640 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 10247912640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21275235072).

10247912640 is an abundant number, since it is smaller than the sum of its proper divisors (32302557504).

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

10247912640 is an equidigital number, since it uses as much as digits as its factorization.

10247912640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 10247912640 in words is "ten billion, two hundred forty-seven million, nine hundred twelve thousand, six hundred forty".