7629329664 has 216 divisors, whose sum is σ = 24360571872. Its totient is φ = 2276904960.

The previous prime is 7629329639. The next prime is 7629329671. The reversal of 7629329664 is 4669239267.

7629329664 is a `hidden beast` number, since 7 + 6 + 293 + 296 + 64 = 666.

It is a super-2 number, since 2×7629329664² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 7629329664.

It is a congruent number.

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, 1695802 + ... + 1700294.

Almost surely, 2^7629329664 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 7629329664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12180285936).

7629329664 is an abundant number, since it is smaller than the sum of its proper divisors (16731242208).

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

7629329664 is a wasteful number, since it uses less digits than its factorization.

7629329664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4593 (or 4576 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 54.

The square root of 7629329664 is about 87346.0340484901. The cubic root of 7629329664 is about 1968.6210611732.

The spelling of 7629329664 in words is "seven billion, six hundred twenty-nine million, three hundred twenty-nine thousand, six hundred sixty-four".