7630546560 has 768 divisors, whose sum is σ = 32350026240. Its totient is φ = 1511129088.

The previous prime is 7630546549. The next prime is 7630546597. The reversal of 7630546560 is 656450367.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20791497 + ... + 20791863.

It is an arithmetic number, because the mean of its divisors is an integer number (42122430).

Almost surely, 2^7630546560 is an apocalyptic number.

7630546560 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 7630546560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16175013120).

7630546560 is an abundant number, since it is smaller than the sum of its proper divisors (24719479680).

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

7630546560 is a wasteful number, since it uses less digits than its factorization.

7630546560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 42.

The square root of 7630546560 is about 87352.9997195288. Note that the first 3 decimals coincide. The cubic root of 7630546560 is about 1968.7257221698.

The spelling of 7630546560 in words is "seven billion, six hundred thirty million, five hundred forty-six thousand, five hundred sixty".