7427416656000 has 512 divisors, whose sum is σ = 26874711152640. Its totient is φ = 1799616000000.

The previous prime is 7427416655969. The next prime is 7427416656019. The reversal of 7427416656000 is 6566147247.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1716525837 + ... + 1716530163.

It is an arithmetic number, because the mean of its divisors is an integer number (52489670220).

Almost surely, 2^{7427416656000} 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 7427416656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13437355576320).

7427416656000 is an abundant number, since it is smaller than the sum of its proper divisors (19447294496640).

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

7427416656000 is a wasteful number, since it uses less digits than its factorization.

7427416656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7621 (or 7599 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 48.

The spelling of 7427416656000 in words is "seven trillion, four hundred twenty-seven billion, four hundred sixteen million, six hundred fifty-six thousand".