1631804379264 has 256 divisors, whose sum is σ = 5077238169600. Its totient is φ = 515187164160.

The previous prime is 1631804379253. The next prime is 1631804379329. The reversal of 1631804379264 is 4629734081361.

1631804379264 is a `hidden beast` number, since 1 + 6 + 3 + 1 + 8 + 0 + 4 + 379 + 264 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1631804379264.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4873359 + ... + 5197425.

It is an arithmetic number, because the mean of its divisors is an integer number (19832961600).

Almost surely, 2^{1631804379264} 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 1631804379264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2538619084800).

1631804379264 is an abundant number, since it is smaller than the sum of its proper divisors (3445433790336).

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

1631804379264 is a wasteful number, since it uses less digits than its factorization.

1631804379264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324168 (or 324150 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 1631804379264 in words is "one trillion, six hundred thirty-one billion, eight hundred four million, three hundred seventy-nine thousand, two hundred sixty-four".