7247978496000 has 1632 divisors, whose sum is σ = 29651858885376. Its totient is φ = 1751777280000.

The previous prime is 7247978495983. The next prime is 7247978496007. The reversal of 7247978496000 is 6948797427.

7247978496000 is a `hidden beast` number, since 7 + 2 + 4 + 79 + 78 + 496 + 0 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7247978496007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21897215835 + ... + 21897216165.

Almost surely, 2^{7247978496000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7247978496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14825929442688).

7247978496000 is an abundant number, since it is smaller than the sum of its proper divisors (22403880389376).

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

7247978496000 is an frugal number, since it uses more digits than its factorization.

7247978496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 63.

The spelling of 7247978496000 in words is "seven trillion, two hundred forty-seven billion, nine hundred seventy-eight million, four hundred ninety-six thousand".