10070288640 has 216 divisors, whose sum is σ = 36892405368. Its totient is φ = 2527395840.

The previous prime is 10070288617. The next prime is 10070288647. The reversal of 10070288640 is 4688207001.

10070288640 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 0 + 2 + 8 + 8 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2530492416 + 7539796224 = 50304^2 + 86832^2 .

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 = 10070288595 and 10070288604.

It is not an unprimeable number, because it can be changed into a prime (10070288647) 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, 170130 + ... + 221550.

It is an arithmetic number, because the mean of its divisors is an integer number (170798173).

Almost surely, 2^10070288640 is an apocalyptic number.

10070288640 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 10070288640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18446202684).

10070288640 is an abundant number, since it is smaller than the sum of its proper divisors (26822116728).

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

10070288640 is a wasteful number, since it uses less digits than its factorization.

10070288640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51465 (or 51448 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 10070288640 in words is "ten billion, seventy million, two hundred eighty-eight thousand, six hundred forty".