7460780640 has 192 divisors, whose sum is σ = 24269414400. Its totient is φ = 1925130240.

The previous prime is 7460780629. The next prime is 7460780647. The reversal of 7460780640 is 460870647.

It is a junction number, because it is equal to n+sod(n) for n = 7460780592 and 7460780601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7460780647) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3533185 + ... + 3535295.

It is an arithmetic number, because the mean of its divisors is an integer number (126403200).

Almost surely, 2^7460780640 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 7460780640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12134707200).

7460780640 is an abundant number, since it is smaller than the sum of its proper divisors (16808633760).

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

7460780640 is a wasteful number, since it uses less digits than its factorization.

7460780640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2365 (or 2357 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The square root of 7460780640 is about 86375.8105027096. The cubic root of 7460780640 is about 1954.0158869383.

The spelling of 7460780640 in words is "seven billion, four hundred sixty million, seven hundred eighty thousand, six hundred forty".