7640063200 has 288 divisors, whose sum is σ = 23585990400. Its totient is φ = 2347315200.

The previous prime is 7640063173. The next prime is 7640063231. The reversal of 7640063200 is 23600467.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4495951 + ... + 4497649.

It is an arithmetic number, because the mean of its divisors is an integer number (81895800).

Almost surely, 2^7640063200 is an apocalyptic number.

7640063200 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 7640063200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11792995200).

7640063200 is an abundant number, since it is smaller than the sum of its proper divisors (15945927200).

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

7640063200 is a wasteful number, since it uses less digits than its factorization.

7640063200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1810 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 7640063200 is about 87407.4550596229. The cubic root of 7640063200 is about 1969.5438317818.

Adding to 7640063200 its reverse (23600467), we get a palindrome (7663663667).

The spelling of 7640063200 in words is "seven billion, six hundred forty million, sixty-three thousand, two hundred".