10764299520 has 864 divisors, whose sum is σ = 43988515200. Its totient is φ = 2484338688.

The previous prime is 10764299471. The next prime is 10764299537. The reversal of 10764299520 is 2599246701.

10764299520 is a `hidden beast` number, since 10 + 76 + 42 + 9 + 9 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 110972112 + ... + 110972208.

Almost surely, 2^10764299520 is an apocalyptic number.

10764299520 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 10764299520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21994257600).

10764299520 is an abundant number, since it is smaller than the sum of its proper divisors (33224215680).

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

10764299520 is a wasteful number, since it uses less digits than its factorization.

10764299520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 10764299520 in words is "ten billion, seven hundred sixty-four million, two hundred ninety-nine thousand, five hundred twenty".