7238982048480 has 2304 divisors, whose sum is σ = 33790305669120. Its totient is φ = 1429689139200.

The previous prime is 7238982048457. The next prime is 7238982048491. The reversal of 7238982048480 is 848402898327.

7238982048480 is a `hidden beast` number, since 7 + 2 + 3 + 8 + 98 + 20 + 48 + 480 = 666.

It is a super-2 number, since 2×7238982048480² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 12677726595 + ... + 12677727165.

It is an arithmetic number, because the mean of its divisors is an integer number (14665931280).

Almost surely, 2^{7238982048480} is an apocalyptic number.

7238982048480 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 7238982048480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16895152834560).

7238982048480 is an abundant number, since it is smaller than the sum of its proper divisors (26551323620640).

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

7238982048480 is a wasteful number, since it uses less digits than its factorization.

7238982048480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 7238982048480 in words is "seven trillion, two hundred thirty-eight billion, nine hundred eighty-two million, forty-eight thousand, four hundred eighty".