7007232540672 has 1440 divisors, whose sum is σ = 26415822195840. Its totient is φ = 1842041585664.

The previous prime is 7007232540641. The next prime is 7007232540689. The reversal of 7007232540672 is 2760452327007.

7007232540672 is a `hidden beast` number, since 7 + 0 + 0 + 7 + 2 + 32 + 540 + 6 + 72 = 666.

It is a super-3 number, since 3×7007232540672³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22824861543 + ... + 22824861849.

Almost surely, 2^{7007232540672} is an apocalyptic number.

7007232540672 is a gapful number since it is divisible by the number (72) 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 7007232540672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13207911097920).

7007232540672 is an abundant number, since it is smaller than the sum of its proper divisors (19408589655168).

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

7007232540672 is an frugal number, since it uses more digits than its factorization.

7007232540672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 45.

Adding to 7007232540672 its reverse (2760452327007), we get a palindrome (9767684867679).

The spelling of 7007232540672 in words is "seven trillion, seven billion, two hundred thirty-two million, five hundred forty thousand, six hundred seventy-two".