10761387840 has 840 divisors, whose sum is σ = 45933192360. Its totient is φ = 2382815232.

The previous prime is 10761387829. The next prime is 10761387841. The reversal of 10761387840 is 4878316701.

It can be written as a sum of positive squares in 4 ways, for example, as 5639409216 + 5121978624 = 75096^2 + 71568^2 .

It is a tau number, because it is divible by the number of its divisors (840).

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 (10761387841) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 46992846 + ... + 46993074.

Almost surely, 2^10761387840 is an apocalyptic number.

10761387840 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 10761387840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22966596180).

10761387840 is an abundant number, since it is smaller than the sum of its proper divisors (35171804520).

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

10761387840 is a wasteful number, since it uses less digits than its factorization.

10761387840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 10761387840 in words is "ten billion, seven hundred sixty-one million, three hundred eighty-seven thousand, eight hundred forty".