12676590720 has 384 divisors, whose sum is σ = 46643163840. Its totient is φ = 3287568384.

The previous prime is 12676590659. The next prime is 12676590727. The reversal of 12676590720 is 2709567621.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×12676590720³ (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 not an unprimeable number, because it can be changed into a prime (12676590727) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5753139 + ... + 5755341.

Almost surely, 2^12676590720 is an apocalyptic number.

12676590720 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 12676590720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23321581920).

12676590720 is an abundant number, since it is smaller than the sum of its proper divisors (33966573120).

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

12676590720 is an equidigital number, since it uses as much as digits as its factorization.

12676590720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2274 (or 2250 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 12676590720 in words is "twelve billion, six hundred seventy-six million, five hundred ninety thousand, seven hundred twenty".