7630718400 has 420 divisors, whose sum is σ = 28384447168. Its totient is φ = 2010562560.

The previous prime is 7630718399. The next prime is 7630718411. The reversal of 7630718400 is 48170367.

7630718400 is a `hidden beast` number, since 7 + 630 + 7 + 18 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12570897 + ... + 12571503.

Almost surely, 2^7630718400 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 7630718400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14192223584).

7630718400 is an abundant number, since it is smaller than the sum of its proper divisors (20753728768).

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

7630718400 is a wasteful number, since it uses less digits than its factorization.

7630718400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 7630718400 is about 87353.9833092916. The cubic root of 7630718400 is about 1968.7405006344.

Adding to 7630718400 its reverse (48170367), we get a palindrome (7678888767).

The spelling of 7630718400 in words is "seven billion, six hundred thirty million, seven hundred eighteen thousand, four hundred".