7127998718976 has 264 divisors, whose sum is σ = 20952465274104. Its totient is φ = 2333349642240.

The previous prime is 7127998718923. The next prime is 7127998718987. The reversal of 7127998718976 is 6798178997217.

It can be written as a sum of positive squares in 4 ways, for example, as 1172837016576 + 5955161702400 = 1082976^2 + 2440320^2 .

It is a junction number, because it is equal to n+sod(n) for n = 7127998718895 and 7127998718904.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 367091220 + ... + 367110636.

Almost surely, 2^{7127998718976} 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 7127998718976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10476232637052).

7127998718976 is an abundant number, since it is smaller than the sum of its proper divisors (13824466555128).

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

7127998718976 is a wasteful number, since it uses less digits than its factorization.

7127998718976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20157 (or 20136 counting only the distinct ones).

The product of its digits is 1344252672, while the sum is 81.

The spelling of 7127998718976 in words is "seven trillion, one hundred twenty-seven billion, nine hundred ninety-eight million, seven hundred eighteen thousand, nine hundred seventy-six".