7730148833280 has 1536 divisors, whose sum is σ = 29685906432000. Its totient is φ = 1904022650880.

The previous prime is 7730148833269. The next prime is 7730148833299. The reversal of 7730148833280 is 823388410377.

It is a happy number.

7730148833280 is a `hidden beast` number, since 7 + 7 + 301 + 4 + 8 + 8 + 3 + 328 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21063075657 + ... + 21063076023.

It is an arithmetic number, because the mean of its divisors is an integer number (19326762000).

Almost surely, 2^{7730148833280} 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 7730148833280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14842953216000).

7730148833280 is an abundant number, since it is smaller than the sum of its proper divisors (21955757598720).

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

7730148833280 is a wasteful number, since it uses less digits than its factorization.

7730148833280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 7730148833280 in words is "seven trillion, seven hundred thirty billion, one hundred forty-eight million, eight hundred thirty-three thousand, two hundred eighty".