10762217440 has 72 divisors (see below), whose sum is σ = 27532082088. Its totient is φ = 3973731840.

The previous prime is 10762217429. The next prime is 10762217441. The reversal of 10762217440 is 4471226701.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10762217396 and 10762217405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10762217441) 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, 171966 + ... + 226045.

It is an arithmetic number, because the mean of its divisors is an integer number (382390029).

Almost surely, 2^10762217440 is an apocalyptic number.

10762217440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10762217440 is an abundant number, since it is smaller than the sum of its proper divisors (16769864648).

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

10762217440 is a wasteful number, since it uses less digits than its factorization.

10762217440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398052 (or 398031 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The spelling of 10762217440 in words is "ten billion, seven hundred sixty-two million, two hundred seventeen thousand, four hundred forty".