10075207645440 has 2592 divisors, whose sum is σ = 44314833749760. Its totient is φ = 2159861760000.

The previous prime is 10075207645379. The next prime is 10075207645441. The reversal of 10075207645440 is 4454670257001.

10075207645440 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 520 + 76 + 4 + 54 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10075207645441) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 66723229365 + ... + 66723229515.

It is an arithmetic number, because the mean of its divisors is an integer number (17096772280).

Almost surely, 2^{10075207645440} is an apocalyptic number.

10075207645440 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 10075207645440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22157416874880).

10075207645440 is an abundant number, since it is smaller than the sum of its proper divisors (34239626104320).

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

10075207645440 is a wasteful number, since it uses less digits than its factorization.

10075207645440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 10075207645440 in words is "ten trillion, seventy-five billion, two hundred seven million, six hundred forty-five thousand, four hundred forty".