11746949760 has 768 divisors, whose sum is σ = 50773282560. Its totient is φ = 2436562944.

The previous prime is 11746949759. The next prime is 11746949771. The reversal of 11746949760 is 6794964711.

11746949760 is a `hidden beast` number, since 117 + 469 + 4 + 9 + 7 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11746949697 and 11746949706.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38263527 + ... + 38263833.

It is an arithmetic number, because the mean of its divisors is an integer number (66111045).

Almost surely, 2^11746949760 is an apocalyptic number.

11746949760 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 11746949760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25386641280).

11746949760 is an abundant number, since it is smaller than the sum of its proper divisors (39026332800).

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

11746949760 is a wasteful number, since it uses less digits than its factorization.

11746949760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 11746949760 in words is "eleven billion, seven hundred forty-six million, nine hundred forty-nine thousand, seven hundred sixty".