12277661760 has 672 divisors, whose sum is σ = 52722109440. Its totient is φ = 2553348096.

The previous prime is 12277661743. The next prime is 12277661777. The reversal of 12277661760 is 6716677221.

12277661760 is a `hidden beast` number, since 1 + 2 + 27 + 7 + 6 + 617 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12277661743) and next prime (12277661777).

It is a tau number, because it is divible by the number of its divisors (672).

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

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, 20704024 + ... + 20704616.

It is an arithmetic number, because the mean of its divisors is an integer number (78455520).

Almost surely, 2^12277661760 is an apocalyptic number.

12277661760 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 12277661760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26361054720).

12277661760 is an abundant number, since it is smaller than the sum of its proper divisors (40444447680).

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

12277661760 is a wasteful number, since it uses less digits than its factorization.

12277661760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 12277661760 in words is "twelve billion, two hundred seventy-seven million, six hundred sixty-one thousand, seven hundred sixty".