2007742808628 has 48 divisors (see below), whose sum is σ = 5271148512000. Its totient is φ = 660776111424.

The previous prime is 2007742808623. The next prime is 2007742808633. The reversal of 2007742808628 is 8268082477002.

2007742808628 is a `hidden beast` number, since 2 + 0 + 0 + 7 + 7 + 4 + 2 + 8 + 0 + 8 + 628 = 666.

It is an interprime number because it is at equal distance from previous prime (2007742808623) and next prime (2007742808633).

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 (2007742808623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117651033 + ... + 117668096.

It is an arithmetic number, because the mean of its divisors is an integer number (109815594000).

Almost surely, 2^{2007742808628} is an apocalyptic number.

It is an amenable number.

2007742808628 is an abundant number, since it is smaller than the sum of its proper divisors (3263405703372).

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

2007742808628 is a wasteful number, since it uses less digits than its factorization.

2007742808628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235319221 (or 235319213 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 2007742808628 in words is "two trillion, seven billion, seven hundred forty-two million, eight hundred eight thousand, six hundred twenty-eight".