11762762640 has 80 divisors (see below), whose sum is σ = 36647952000. Its totient is φ = 3120961536.

The previous prime is 11762762633. The next prime is 11762762647. The reversal of 11762762640 is 4626726711.

It is an interprime number because it is at equal distance from previous prime (11762762633) and next prime (11762762647).

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 11762762592 and 11762762601.

It is not an unprimeable number, because it can be changed into a prime (11762762647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75385 + ... + 170904.

It is an arithmetic number, because the mean of its divisors is an integer number (458099400).

Almost surely, 2^11762762640 is an apocalyptic number.

11762762640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11762762640 is an abundant number, since it is smaller than the sum of its proper divisors (24885189360).

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

11762762640 is a wasteful number, since it uses less digits than its factorization.

11762762640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246504 (or 246498 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The spelling of 11762762640 in words is "eleven billion, seven hundred sixty-two million, seven hundred sixty-two thousand, six hundred forty".