6972421463280 has 960 divisors, whose sum is σ = 30540602776320. Its totient is φ = 1385717760000.

The previous prime is 6972421463269. The next prime is 6972421463377. The reversal of 6972421463280 is 823641242796.

It is a happy number.

6972421463280 is a `hidden beast` number, since 6 + 9 + 72 + 421 + 46 + 32 + 80 = 666.

It is a super-2 number, since 2×6972421463280² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 77858530 + ... + 77948030.

It is an arithmetic number, because the mean of its divisors is an integer number (31813127892).

Almost surely, 2^{6972421463280} is an apocalyptic number.

6972421463280 is a gapful number since it is divisible by the number (60) 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 6972421463280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15270301388160).

6972421463280 is an abundant number, since it is smaller than the sum of its proper divisors (23568181313040).

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

6972421463280 is a wasteful number, since it uses less digits than its factorization.

6972421463280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89610 (or 89601 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 6972421463280 in words is "six trillion, nine hundred seventy-two billion, four hundred twenty-one million, four hundred sixty-three thousand, two hundred eighty".