7921385472000 has 3456 divisors, whose sum is σ = 37593973767168. Its totient is φ = 1453326336000.

The previous prime is 7921385471911. The next prime is 7921385472001. The reversal of 7921385472000 is 2745831297.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7921385472001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 344408063989 + ... + 344408064011.

It is an arithmetic number, because the mean of its divisors is an integer number (10877885928).

Almost surely, 2^{7921385472000} is an apocalyptic number.

7921385472000 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 7921385472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18796986883584).

7921385472000 is an abundant number, since it is smaller than the sum of its proper divisors (29672588295168).

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

7921385472000 is a wasteful number, since it uses less digits than its factorization.

7921385472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 7921385472000 in words is "seven trillion, nine hundred twenty-one billion, three hundred eighty-five million, four hundred seventy-two thousand".