7970952960 has 576 divisors, whose sum is σ = 30414720000. Its totient is φ = 1970749440.

The previous prime is 7970952959. The next prime is 7970952961. The reversal of 7970952960 is 692590797.

It is an interprime number because it is at equal distance from previous prime (7970952959) and next prime (7970952961).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 7970952897 and 7970952906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7970952961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40054941 + ... + 40055139.

Almost surely, 2^7970952960 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 7970952960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15207360000).

7970952960 is an abundant number, since it is smaller than the sum of its proper divisors (22443767040).

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

7970952960 is a wasteful number, since it uses less digits than its factorization.

7970952960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 2143260, while the sum is 54.

The square root of 7970952960 is about 89280.1935481773. The cubic root of 7970952960 is about 1997.5764777896.

The spelling of 7970952960 in words is "seven billion, nine hundred seventy million, nine hundred fifty-two thousand, nine hundred sixty".