2638835383680 has 128 divisors (see below), whose sum is σ = 9345875378400. Its totient is φ = 703689431040.

The previous prime is 2638835383603. The next prime is 2638835383703. The reversal of 2638835383680 is 863835388362.

2638835383680 is a `hidden beast` number, since 2 + 6 + 38 + 8 + 3 + 538 + 3 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76337911 + ... + 76372470.

Almost surely, 2^{2638835383680} is an apocalyptic number.

2638835383680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2638835383680 is an abundant number, since it is smaller than the sum of its proper divisors (6707039994720).

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

2638835383680 is a wasteful number, since it uses less digits than its factorization.

2638835383680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152710409 (or 152710391 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 63.

The spelling of 2638835383680 in words is "two trillion, six hundred thirty-eight billion, eight hundred thirty-five million, three hundred eighty-three thousand, six hundred eighty".