10764403488 has 288 divisors, whose sum is σ = 33561964800. Its totient is φ = 3260694528.

The previous prime is 10764403471. The next prime is 10764403501. The reversal of 10764403488 is 88430446701.

10764403488 is a `hidden beast` number, since 107 + 64 + 4 + 0 + 3 + 488 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×10764403488² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15994320 + ... + 15994992.

It is an arithmetic number, because the mean of its divisors is an integer number (116534600).

Almost surely, 2^10764403488 is an apocalyptic number.

10764403488 is a gapful number since it is divisible by the number (18) 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 10764403488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16780982400).

10764403488 is an abundant number, since it is smaller than the sum of its proper divisors (22797561312).

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

10764403488 is a wasteful number, since it uses less digits than its factorization.

10764403488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 10764403488 in words is "ten billion, seven hundred sixty-four million, four hundred three thousand, four hundred eighty-eight".