7630848000 has 640 divisors, whose sum is σ = 29688927840. Its totient is φ = 1946419200.

The previous prime is 7630847989. The next prime is 7630848011. The reversal of 7630848000 is 8480367.

It is an interprime number because it is at equal distance from previous prime (7630847989) and next prime (7630848011).

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-3 number, since 3×7630848000³ (a number of 31 digits) contains 333 as substring.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 331775989 + ... + 331776011.

Almost surely, 2^7630848000 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 7630848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14844463920).

7630848000 is an abundant number, since it is smaller than the sum of its proper divisors (22058079840).

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

7630848000 is an frugal number, since it uses more digits than its factorization.

7630848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 7630848000 is about 87354.7251154739. The cubic root of 7630848000 is about 1968.7516462571.

The spelling of 7630848000 in words is "seven billion, six hundred thirty million, eight hundred forty-eight thousand".