12754691640 has 192 divisors, whose sum is σ = 44699709600. Its totient is φ = 3143577600.

The previous prime is 12754691629. The next prime is 12754691641. The reversal of 12754691640 is 4619645721.

12754691640 is a `hidden beast` number, since 1 + 27 + 5 + 469 + 164 + 0 = 666.

12754691640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12754691641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 257700 + ... + 303180.

Almost surely, 2^12754691640 is an apocalyptic number.

12754691640 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 12754691640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22349854800).

12754691640 is an abundant number, since it is smaller than the sum of its proper divisors (31945017960).

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

12754691640 is a wasteful number, since it uses less digits than its factorization.

12754691640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45558 (or 45551 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 12754691640 in words is "twelve billion, seven hundred fifty-four million, six hundred ninety-one thousand, six hundred forty".