2635296768 has 390 divisors, whose sum is σ = 8705919024. Its totient is φ = 793608192.

The previous prime is 2635296767. The next prime is 2635296809. The reversal of 2635296768 is 8676925362.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2635296767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 56070121 + ... + 56070167.

Almost surely, 2^2635296768 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 2635296768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4352959512).

2635296768 is an abundant number, since it is smaller than the sum of its proper divisors (6070622256).

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

2635296768 is an equidigital number, since it uses as much as digits as its factorization.

2635296768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 65 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The square root of 2635296768 is about 51335.1416478030. The cubic root of 2635296768 is about 1381.2634176321.

The spelling of 2635296768 in words is "two billion, six hundred thirty-five million, two hundred ninety-six thousand, seven hundred sixty-eight".