7338872782080 has 2160 divisors, whose sum is σ = 31810005287424. Its totient is φ = 1618224168960.

The previous prime is 7338872782079. The next prime is 7338872782081. The reversal of 7338872782080 is 802872788337.

7338872782080 is a `hidden beast` number, since 7 + 338 + 8 + 7 + 278 + 20 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (7338872782079) and next prime (7338872782081).

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is a junction number, because it is equal to n+sod(n) for n = 7338872781999 and 7338872782017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7338872782081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 23151018082 + ... + 23151018398.

Almost surely, 2^{7338872782080} is an apocalyptic number.

7338872782080 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 7338872782080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15905002643712).

7338872782080 is an abundant number, since it is smaller than the sum of its proper divisors (24471132505344).

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

7338872782080 is an frugal number, since it uses more digits than its factorization.

7338872782080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 50577408, while the sum is 63.

The spelling of 7338872782080 in words is "seven trillion, three hundred thirty-eight billion, eight hundred seventy-two million, seven hundred eighty-two thousand, eighty".