10003267740960 has 576 divisors, whose sum is σ = 39945181086720. Its totient is φ = 2257493483520.

The previous prime is 10003267740937. The next prime is 10003267741013. The reversal of 10003267740960 is 6904776230001.

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

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, 10572462 + ... + 11479698.

It is an arithmetic number, because the mean of its divisors is an integer number (69349272720).

Almost surely, 2^{10003267740960} is an apocalyptic number.

10003267740960 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 10003267740960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19972590543360).

10003267740960 is an abundant number, since it is smaller than the sum of its proper divisors (29941913345760).

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

10003267740960 is a wasteful number, since it uses less digits than its factorization.

10003267740960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907321 (or 907310 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 10003267740960 in words is "ten trillion, three billion, two hundred sixty-seven million, seven hundred forty thousand, nine hundred sixty".