7362678906 has 72 divisors (see below), whose sum is σ = 17553617172. Its totient is φ = 2228688000.

The previous prime is 7362678871. The next prime is 7362678929. The reversal of 7362678906 is 6098762637.

7362678906 is a `hidden beast` number, since 7 + 3 + 626 + 7 + 8 + 9 + 0 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7209538281 + 153140625 = 84909^2 + 12375^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3921640 + ... + 3923516.

Almost surely, 2^7362678906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7362678906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8776808586).

7362678906 is an abundant number, since it is smaller than the sum of its proper divisors (10190938266).

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

7362678906 is a wasteful number, since it uses less digits than its factorization.

7362678906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3708 (or 3694 counting only the distinct ones).

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

The square root of 7362678906 is about 85806.0540171846. The cubic root of 7362678906 is about 1945.4136268934.

The spelling of 7362678906 in words is "seven billion, three hundred sixty-two million, six hundred seventy-eight thousand, nine hundred six".