12649775040 has 336 divisors, whose sum is σ = 49957622208. Its totient is φ = 2877898752.

The previous prime is 12649774981. The next prime is 12649775057. The reversal of 12649775040 is 4057794621.

12649775040 is a `hidden beast` number, since 12 + 64 + 9 + 77 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4695934 + ... + 4698626.

Almost surely, 2^12649775040 is an apocalyptic number.

12649775040 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 12649775040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24978811104).

12649775040 is an abundant number, since it is smaller than the sum of its proper divisors (37307847168).

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

12649775040 is a wasteful number, since it uses less digits than its factorization.

12649775040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2956 (or 2943 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 12649775040 in words is "twelve billion, six hundred forty-nine million, seven hundred seventy-five thousand, forty".