7437120768 has 648 divisors, whose sum is σ = 27933336704. Its totient is φ = 1861263360.

The previous prime is 7437120737. The next prime is 7437120773. The reversal of 7437120768 is 8670217347.

7437120768 is a `hidden beast` number, since 7 + 437 + 1 + 207 + 6 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 72205005 + ... + 72205107.

Almost surely, 2^7437120768 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 7437120768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13966668352).

7437120768 is an abundant number, since it is smaller than the sum of its proper divisors (20496215936).

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

7437120768 is a wasteful number, since it uses less digits than its factorization.

7437120768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 7437120768 is about 86238.7428479799. The cubic root of 7437120768 is about 1951.9481532409.

The spelling of 7437120768 in words is "seven billion, four hundred thirty-seven million, one hundred twenty thousand, seven hundred sixty-eight".