10360784640 has 288 divisors, whose sum is σ = 35860720896. Its totient is φ = 2539192320.

The previous prime is 10360784639. The next prime is 10360784647. The reversal of 10360784640 is 4648706301.

It is a super-3 number, since 3×10360784640³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10360784647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2805195 + ... + 2808885.

It is an arithmetic number, because the mean of its divisors is an integer number (124516392).

Almost surely, 2^10360784640 is an apocalyptic number.

10360784640 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 10360784640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17930360448).

10360784640 is an abundant number, since it is smaller than the sum of its proper divisors (25499936256).

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

10360784640 is a wasteful number, since it uses less digits than its factorization.

10360784640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3775 (or 3761 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 10360784640 in words is "ten billion, three hundred sixty million, seven hundred eighty-four thousand, six hundred forty".