7970514144 has 48 divisors (see below), whose sum is σ = 21432917520. Its totient is φ = 2592035840.

The previous prime is 7970514131. The next prime is 7970514151. The reversal of 7970514144 is 4414150797.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 7970514096 and 7970514105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1008579 + ... + 1016450.

It is an arithmetic number, because the mean of its divisors is an integer number (446519115).

Almost surely, 2^7970514144 is an apocalyptic number.

It is an amenable number.

7970514144 is an abundant number, since it is smaller than the sum of its proper divisors (13462403376).

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

7970514144 is a wasteful number, since it uses less digits than its factorization.

7970514144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2025083 (or 2025075 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 7970514144 is about 89277.7359927995. The cubic root of 7970514144 is about 1997.5398203322.

The spelling of 7970514144 in words is "seven billion, nine hundred seventy million, five hundred fourteen thousand, one hundred forty-four".