10767805440 has 704 divisors, whose sum is σ = 42955951104. Its totient is φ = 2246049792.

The previous prime is 10767805439. The next prime is 10767805469. The reversal of 10767805440 is 4450876701.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 10767805392 and 10767805401.

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 63 ways as a sum of consecutive naturals, for example, 78597052 + ... + 78597188.

It is an arithmetic number, because the mean of its divisors is an integer number (61016976).

Almost surely, 2^10767805440 is an apocalyptic number.

10767805440 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 10767805440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21477975552).

10767805440 is an abundant number, since it is smaller than the sum of its proper divisors (32188145664).

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

10767805440 is a wasteful number, since it uses less digits than its factorization.

10767805440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The spelling of 10767805440 in words is "ten billion, seven hundred sixty-seven million, eight hundred five thousand, four hundred forty".