7661971104 has 144 divisors (see below), whose sum is σ = 20910879360. Its totient is φ = 2456064000.

The previous prime is 7661971061. The next prime is 7661971127. The reversal of 7661971104 is 4011791667.

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 23 ways as a sum of consecutive naturals, for example, 12748404 + ... + 12749004.

It is an arithmetic number, because the mean of its divisors is an integer number (145214440).

Almost surely, 2^7661971104 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 7661971104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10455439680).

7661971104 is an abundant number, since it is smaller than the sum of its proper divisors (13248908256).

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

7661971104 is a wasteful number, since it uses less digits than its factorization.

7661971104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 42.

The square root of 7661971104 is about 87532.6859178901. The cubic root of 7661971104 is about 1971.4245928326.

The spelling of 7661971104 in words is "seven billion, six hundred sixty-one million, nine hundred seventy-one thousand, one hundred four".