7630649280 has 896 divisors, whose sum is σ = 30899404800. Its totient is φ = 1762725888.

The previous prime is 7630649267. The next prime is 7630649281. The reversal of 7630649280 is 829460367.

7630649280 is a `hidden beast` number, since 7 + 630 + 6 + 4 + 9 + 2 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7630649281) 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 127 ways as a sum of consecutive naturals, for example, 162354217 + ... + 162354263.

Almost surely, 2^7630649280 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 7630649280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15449702400).

7630649280 is an abundant number, since it is smaller than the sum of its proper divisors (23268755520).

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

7630649280 is a wasteful number, since it uses less digits than its factorization.

7630649280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 7630649280 is about 87353.5876767520. The cubic root of 7630649280 is about 1968.7345562507.

The spelling of 7630649280 in words is "seven billion, six hundred thirty million, six hundred forty-nine thousand, two hundred eighty".