7630623000 has 1152 divisors, whose sum is σ = 35538834240. Its totient is φ = 1463616000.

The previous prime is 7630622959. The next prime is 7630623017. The reversal of 7630623000 is 3260367.

7630623000 is a `hidden beast` number, since 7 + 6 + 30 + 623 + 0 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 586970994 + ... + 586971006.

Almost surely, 2^7630623000 is an apocalyptic number.

7630623000 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 7630623000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17769417120).

7630623000 is an abundant number, since it is smaller than the sum of its proper divisors (27908211240).

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

7630623000 is a wasteful number, since it uses less digits than its factorization.

7630623000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 7630623000 is about 87353.4372534934. The cubic root of 7630623000 is about 1968.7322961371.

Adding to 7630623000 its reverse (3260367), we get a palindrome (7633883367).

The spelling of 7630623000 in words is "seven billion, six hundred thirty million, six hundred twenty-three thousand".