7242584448000 has 1408 divisors, whose sum is σ = 27687402602496. Its totient is φ = 1663377408000.

The previous prime is 7242584447993. The next prime is 7242584448013. The reversal of 7242584448000 is 8444852427.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a super-2 number, since 2×7242584448000² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12338303707 + ... + 12338304293.

Almost surely, 2^{7242584448000} 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 7242584448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13843701301248).

7242584448000 is an abundant number, since it is smaller than the sum of its proper divisors (20444818154496).

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

7242584448000 is a wasteful number, since it uses less digits than its factorization.

7242584448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 2293760, while the sum is 48.

The spelling of 7242584448000 in words is "seven trillion, two hundred forty-two billion, five hundred eighty-four million, four hundred forty-eight thousand".