7972630848 has 336 divisors, whose sum is σ = 29366016960. Its totient is φ = 2102381568.

The previous prime is 7972630847. The next prime is 7972630909. The reversal of 7972630848 is 8480362797.

It is a tau number, because it is divible by the number of its divisors (336).

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 = 7972630794 and 7972630803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7972630843) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1097115 + ... + 1104357.

It is an arithmetic number, because the mean of its divisors is an integer number (87398860).

Almost surely, 2^7972630848 is an apocalyptic number.

7972630848 is a gapful number since it is divisible by the number (78) 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 7972630848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14683008480).

7972630848 is an abundant number, since it is smaller than the sum of its proper divisors (21393386112).

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

7972630848 is a wasteful number, since it uses less digits than its factorization.

7972630848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7291 (or 7268 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The square root of 7972630848 is about 89289.5898075470. The cubic root of 7972630848 is about 1997.7166314394.

The spelling of 7972630848 in words is "seven billion, nine hundred seventy-two million, six hundred thirty thousand, eight hundred forty-eight".