10454720640 has 512 divisors, whose sum is σ = 41825548800. Its totient is φ = 2162294784.

The previous prime is 10454720621. The next prime is 10454720651. The reversal of 10454720640 is 4602745401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9259596 + ... + 9260724.

It is an arithmetic number, because the mean of its divisors is an integer number (81690525).

Almost surely, 2^10454720640 is an apocalyptic number.

10454720640 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 10454720640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20912774400).

10454720640 is an abundant number, since it is smaller than the sum of its proper divisors (31370828160).

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

10454720640 is a wasteful number, since it uses less digits than its factorization.

10454720640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The spelling of 10454720640 in words is "ten billion, four hundred fifty-four million, seven hundred twenty thousand, six hundred forty".