7922168640 has 672 divisors, whose sum is σ = 30503506176. Its totient is φ = 1878589440.

The previous prime is 7922168627. The next prime is 7922168647. The reversal of 7922168640 is 468612297.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7922168647) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 111579805 + ... + 111579875.

Almost surely, 2^7922168640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7922168640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15251753088).

7922168640 is an abundant number, since it is smaller than the sum of its proper divisors (22581337536).

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

7922168640 is a wasteful number, since it uses less digits than its factorization.

7922168640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 7922168640 is about 89006.5651511168. The cubic root of 7922168640 is about 1993.4929051521.

The spelling of 7922168640 in words is "seven billion, nine hundred twenty-two million, one hundred sixty-eight thousand, six hundred forty".