7642776906 has 48 divisors (see below), whose sum is σ = 17035293600. Its totient is φ = 2474600544.

The previous prime is 7642776863. The next prime is 7642776919. The reversal of 7642776906 is 6096772467.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 402985 + ... + 421523.

It is an arithmetic number, because the mean of its divisors is an integer number (354901950).

Almost surely, 2^7642776906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7642776906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8517646800).

7642776906 is an abundant number, since it is smaller than the sum of its proper divisors (9392516694).

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

7642776906 is a wasteful number, since it uses less digits than its factorization.

7642776906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19203 (or 19200 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The square root of 7642776906 is about 87422.9769911778. The cubic root of 7642776906 is about 1969.7769943482.

The spelling of 7642776906 in words is "seven billion, six hundred forty-two million, seven hundred seventy-six thousand, nine hundred six".