11768471640 has 256 divisors, whose sum is σ = 41073868800. Its totient is φ = 2991555072.

The previous prime is 11768471623. The next prime is 11768471657. The reversal of 11768471640 is 4617486711.

11768471640 is a `hidden beast` number, since 1 + 176 + 8 + 471 + 6 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11768471623) and next prime (11768471657).

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9513102 + ... + 9514338.

It is an arithmetic number, because the mean of its divisors is an integer number (160444800).

Almost surely, 2^11768471640 is an apocalyptic number.

11768471640 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 11768471640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20536934400).

11768471640 is an abundant number, since it is smaller than the sum of its proper divisors (29305397160).

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

11768471640 is a wasteful number, since it uses less digits than its factorization.

11768471640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1663 (or 1653 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 11768471640 in words is "eleven billion, seven hundred sixty-eight million, four hundred seventy-one thousand, six hundred forty".