10764000000 has 756 divisors, whose sum is σ = 43594129488. Its totient is φ = 2534400000.

The previous prime is 10763999999. The next prime is 10764000047. The reversal of 10764000000 is 46701.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 467999989 + ... + 468000011.

Almost surely, 2^10764000000 is an apocalyptic number.

10764000000 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 10764000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21797064744).

10764000000 is an abundant number, since it is smaller than the sum of its proper divisors (32830129488).

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

10764000000 is an frugal number, since it uses more digits than its factorization.

10764000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

Adding to 10764000000 its reverse (46701), we get a palindrome (10764046701).

The spelling of 10764000000 in words is "ten billion, seven hundred sixty-four million", and thus it is an aban number.