7668061632 has 336 divisors, whose sum is σ = 28597750272. Its totient is φ = 1904855040.

The previous prime is 7668061631. The next prime is 7668061657. The reversal of 7668061632 is 2361608667.

7668061632 is a `hidden beast` number, since 7 + 6 + 6 + 8 + 0 + 6 + 1 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7668061631) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1016338 + ... + 1023854.

It is an arithmetic number, because the mean of its divisors is an integer number (85112352).

Almost surely, 2^7668061632 is an apocalyptic number.

7668061632 is a gapful number since it is divisible by the number (72) 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 7668061632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14298875136).

7668061632 is an abundant number, since it is smaller than the sum of its proper divisors (20929688640).

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

7668061632 is a wasteful number, since it uses less digits than its factorization.

7668061632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7576 (or 7563 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 7668061632 is about 87567.4690281728. The cubic root of 7668061632 is about 1971.9468186172.

The spelling of 7668061632 in words is "seven billion, six hundred sixty-eight million, sixty-one thousand, six hundred thirty-two".