2679378235632 has 240 divisors, whose sum is σ = 8648375899072. Its totient is φ = 758544445440.

The previous prime is 2679378235613. The next prime is 2679378235643. The reversal of 2679378235632 is 2365328739762.

It is a happy number.

2679378235632 is a `hidden beast` number, since 2 + 67 + 9 + 3 + 7 + 8 + 2 + 3 + 563 + 2 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 2679378235632.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50511588 + ... + 50564604.

Almost surely, 2^{2679378235632} 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 2679378235632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4324187949536).

2679378235632 is an abundant number, since it is smaller than the sum of its proper divisors (5968997663440).

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

2679378235632 is a wasteful number, since it uses less digits than its factorization.

2679378235632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53496 (or 53487 counting only the distinct ones).

The product of its digits is 137168640, while the sum is 63.

The spelling of 2679378235632 in words is "two trillion, six hundred seventy-nine billion, three hundred seventy-eight million, two hundred thirty-five thousand, six hundred thirty-two".