12377064960 has 720 divisors, whose sum is σ = 48809032272. Its totient is φ = 2879815680.

The previous prime is 12377064943. The next prime is 12377064961. The reversal of 12377064960 is 6946077321.

It is a tau number, because it is divible by the number of its divisors (720).

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 (12377064961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 287838699 + ... + 287838741.

Almost surely, 2^12377064960 is an apocalyptic number.

12377064960 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 12377064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24404516136).

12377064960 is an abundant number, since it is smaller than the sum of its proper divisors (36431967312).

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

12377064960 is a wasteful number, since it uses less digits than its factorization.

12377064960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 12377064960 in words is "twelve billion, three hundred seventy-seven million, sixty-four thousand, nine hundred sixty".