9972129064 has 16 divisors (see below), whose sum is σ = 18698901120. Its totient is φ = 4985755440.

The previous prime is 9972129017. The next prime is 9972129091. The reversal of 9972129064 is 4609212799.

It is a junction number, because it is equal to n+sod(n) for n = 9972128999 and 9972129017.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 156379 + ... + 210709.

It is an arithmetic number, because the mean of its divisors is an integer number (1168681320).

Almost surely, 2^9972129064 is an apocalyptic number.

It is an amenable number.

9972129064 is a deficient number, since it is larger than the sum of its proper divisors (8726772056).

9972129064 is a wasteful number, since it uses less digits than its factorization.

9972129064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77280 (or 77276 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 49.

The square root of 9972129064 is about 99860.5480858182. The cubic root of 9972129064 is about 2152.4312906116.

The spelling of 9972129064 in words is "nine billion, nine hundred seventy-two million, one hundred twenty-nine thousand, sixty-four".