7430791680 has 240 divisors, whose sum is σ = 27715647960. Its totient is φ = 1829044224.

The previous prime is 7430791673. The next prime is 7430791703. The reversal of 7430791680 is 861970347.

It can be written as a sum of positive squares in 4 ways, for example, as 6054084864 + 1376706816 = 77808^2 + 37104^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287116 + ... + 311924.

Almost surely, 2^7430791680 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 7430791680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13857823980).

7430791680 is an abundant number, since it is smaller than the sum of its proper divisors (20284856280).

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

7430791680 is a wasteful number, since it uses less digits than its factorization.

7430791680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24851 (or 24832 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 7430791680 is about 86202.0398830561. The cubic root of 7430791680 is about 1951.3942848751.

The spelling of 7430791680 in words is "seven billion, four hundred thirty million, seven hundred ninety-one thousand, six hundred eighty".