12767404032 has 280 divisors, whose sum is σ = 38822205312. Its totient is φ = 4180377600.

The previous prime is 12767404021. The next prime is 12767404051. The reversal of 12767404032 is 23040476721.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 47112057 + ... + 47112327.

Almost surely, 2^12767404032 is an apocalyptic number.

12767404032 is a gapful number since it is divisible by the number (12) 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 12767404032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19411102656).

12767404032 is an abundant number, since it is smaller than the sum of its proper divisors (26054801280).

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

12767404032 is an frugal number, since it uses more digits than its factorization.

12767404032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 12767404032 in words is "twelve billion, seven hundred sixty-seven million, four hundred four thousand, thirty-two".