7972618248000 has 2016 divisors, whose sum is σ = 36097070929920. Its totient is φ = 1639614873600.

The previous prime is 7972618247987. The next prime is 7972618248013. The reversal of 7972618248000 is 8428162797.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7972618247987) and next prime (7972618248013).

It is a tau number, because it is divible by the number of its divisors (2016).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4532471121 + ... + 4532472879.

It is an arithmetic number, because the mean of its divisors is an integer number (17905293120).

Almost surely, 2^{7972618248000} is an apocalyptic number.

7972618248000 is a gapful number since it is divisible by the number (70) 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 7972618248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18048535464960).

7972618248000 is an abundant number, since it is smaller than the sum of its proper divisors (28124452681920).

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

7972618248000 is a wasteful number, since it uses less digits than its factorization.

7972618248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1862 (or 1816 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 7972618248000 in words is "seven trillion, nine hundred seventy-two billion, six hundred eighteen million, two hundred forty-eight thousand".