10764697600 has 180 divisors, whose sum is σ = 27389411028. Its totient is φ = 4194304000.

The previous prime is 10764697561. The next prime is 10764697607. The reversal of 10764697600 is 679646701.

It can be written as a sum of positive squares in 6 ways, for example, as 383533056 + 10381164544 = 19584^2 + 101888^2 .

It is not an unprimeable number, because it can be changed into a prime (10764697607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16793280 + ... + 16793920.

Almost surely, 2^10764697600 is an apocalyptic number.

10764697600 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 10764697600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13694705514).

10764697600 is an abundant number, since it is smaller than the sum of its proper divisors (16624713428).

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

10764697600 is an frugal number, since it uses more digits than its factorization.

10764697600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 46.

The spelling of 10764697600 in words is "ten billion, seven hundred sixty-four million, six hundred ninety-seven thousand, six hundred".