10007613440 has 208 divisors, whose sum is σ = 27062539776. Its totient is φ = 3519283200.

The previous prime is 10007613439. The next prime is 10007613479. The reversal of 10007613440 is 4431670001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6982964 + ... + 6984396.

Almost surely, 2^10007613440 is an apocalyptic number.

10007613440 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 10007613440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13531269888).

10007613440 is an abundant number, since it is smaller than the sum of its proper divisors (17054926336).

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

10007613440 is a wasteful number, since it uses less digits than its factorization.

10007613440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1504 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The spelling of 10007613440 in words is "ten billion, seven million, six hundred thirteen thousand, four hundred forty".