1007669076642 has 24 divisors (see below), whose sum is σ = 2203687517616. Its totient is φ = 332750535576.

The previous prime is 1007669076607. The next prime is 1007669076649. The reversal of 1007669076642 is 2466709667001.

1007669076642 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1007669076649) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 261594408 + ... + 261598259.

It is an arithmetic number, because the mean of its divisors is an integer number (91820313234).

Almost surely, 2^{1007669076642} is an apocalyptic number.

1007669076642 is an abundant number, since it is smaller than the sum of its proper divisors (1196018440974).

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

1007669076642 is a wasteful number, since it uses less digits than its factorization.

1007669076642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523192782 (or 523192779 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 1007669076642 in words is "one trillion, seven billion, six hundred sixty-nine million, seventy-six thousand, six hundred forty-two".