10761764640 has 192 divisors, whose sum is σ = 37123712640. Its totient is φ = 2598871040.

The previous prime is 10761764627. The next prime is 10761764641. The reversal of 10761764640 is 4646716701.

It is a junction number, because it is equal to n+sod(n) for n = 10761764592 and 10761764601.

It is not an unprimeable number, because it can be changed into a prime (10761764641) 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, 1416532 + ... + 1424108.

It is an arithmetic number, because the mean of its divisors is an integer number (193352670).

Almost surely, 2^10761764640 is an apocalyptic number.

10761764640 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 10761764640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18561856320).

10761764640 is an abundant number, since it is smaller than the sum of its proper divisors (26361948000).

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

10761764640 is a wasteful number, since it uses less digits than its factorization.

10761764640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7875 (or 7867 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The spelling of 10761764640 in words is "ten billion, seven hundred sixty-one million, seven hundred sixty-four thousand, six hundred forty".