7970637168 has 240 divisors, whose sum is σ = 25721020416. Its totient is φ = 2372924160.

The previous prime is 7970637167. The next prime is 7970637179. The reversal of 7970637168 is 8617360797.

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 (7970637167) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1564321 + ... + 1569407.

Almost surely, 2^7970637168 is an apocalyptic number.

7970637168 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7970637168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12860510208).

7970637168 is an abundant number, since it is smaller than the sum of its proper divisors (17750383248).

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

7970637168 is a wasteful number, since it uses less digits than its factorization.

7970637168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5154 (or 5136 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The square root of 7970637168 is about 89278.4249861074. The cubic root of 7970637168 is about 1997.5500975477.

The spelling of 7970637168 in words is "seven billion, nine hundred seventy million, six hundred thirty-seven thousand, one hundred sixty-eight".