7630400000 has 240 divisors, whose sum is σ = 20139023520. Its totient is φ = 2880000000.

The previous prime is 7630399993. The next prime is 7630400017. The reversal of 7630400000 is 40367.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 30399875 + ... + 30400125.

It is an arithmetic number, because the mean of its divisors is an integer number (83912598).

Almost surely, 2^7630400000 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 7630400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10069511760).

7630400000 is an abundant number, since it is smaller than the sum of its proper divisors (12508623520).

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

7630400000 is an frugal number, since it uses more digits than its factorization.

7630400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 7630400000 is about 87352.1608204399. The cubic root of 7630400000 is about 1968.7131176428.

Adding to 7630400000 its reverse (40367), we get a palindrome (7630440367).

The spelling of 7630400000 in words is "seven billion, six hundred thirty million, four hundred thousand".