1306649877264 has 240 divisors, whose sum is σ = 3777664148544. Its totient is φ = 421361740800.

The previous prime is 1306649877233. The next prime is 1306649877283. The reversal of 1306649877264 is 4627789466031.

It is a happy number.

1306649877264 is a `hidden beast` number, since 1 + 306 + 64 + 9 + 8 + 7 + 7 + 264 = 666.

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, 536170254 + ... + 536172690.

Almost surely, 2^{1306649877264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1306649877264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1888832074272).

1306649877264 is an abundant number, since it is smaller than the sum of its proper divisors (2471014271280).

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

1306649877264 is a wasteful number, since it uses less digits than its factorization.

1306649877264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3286 (or 3277 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 1306649877264 in words is "one trillion, three hundred six billion, six hundred forty-nine million, eight hundred seventy-seven thousand, two hundred sixty-four".