7244882766240 has 288 divisors, whose sum is σ = 27264869847936. Its totient is φ = 1583973980160.

The previous prime is 7244882766181. The next prime is 7244882766281. The reversal of 7244882766240 is 426672884427.

It is a super-2 number, since 2×7244882766240² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 260571 + ... + 3815450.

It is an arithmetic number, because the mean of its divisors is an integer number (94669686972).

Almost surely, 2^{7244882766240} is an apocalyptic number.

7244882766240 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 7244882766240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13632434923968).

7244882766240 is an abundant number, since it is smaller than the sum of its proper divisors (20019987081696).

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

7244882766240 is a wasteful number, since it uses less digits than its factorization.

7244882766240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4076092 (or 4076061 counting only the distinct ones).

The product of its (nonzero) digits is 57802752, while the sum is 60.

The spelling of 7244882766240 in words is "seven trillion, two hundred forty-four billion, eight hundred eighty-two million, seven hundred sixty-six thousand, two hundred forty".