12649070880 has 72 divisors (see below), whose sum is σ = 43164959292. Its totient is φ = 3373085184.

The previous prime is 12649070851. The next prime is 12649070909. The reversal of 12649070880 is 8807094621.

12649070880 is a `hidden beast` number, since 12 + 6 + 490 + 70 + 8 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (12649070851) and next prime (12649070909).

It can be written as a sum of positive squares in 2 ways, for example, as 12409068816 + 240002064 = 111396^2 + 15492^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×12649070880³ (a number of 31 digits) contains 333 as substring.

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 11 ways as a sum of consecutive naturals, for example, 4390599 + ... + 4393478.

Almost surely, 2^12649070880 is an apocalyptic number.

12649070880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12649070880 is an abundant number, since it is smaller than the sum of its proper divisors (30515888412).

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

12649070880 is a wasteful number, since it uses less digits than its factorization.

12649070880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8784098 (or 8784087 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

It can be divided in two parts, 1264 and 9070880, that added together give a square (9072144 = 3012²).

The spelling of 12649070880 in words is "twelve billion, six hundred forty-nine million, seventy thousand, eight hundred eighty".